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Finding the Third Proportional to 309,275,461,520 and 665,817,840,976

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Solution

The third proportional to 309,275,461,520 and 665,817,840,976 is: 1,433,393,374,253.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,275,461,520 : 665,817,840,976 = 665,817,840,976 : x
  2. Step 2: Convert to fraction form
    309,275,461,520/665,817,840,976 = 665,817,840,976/x
  3. Step 3: Cross multiply
    309,275,461,520x = 665,817,840,976 × 665,817,840,976
  4. Step 4: Simplify right side
    309,275,461,520x = 443,313,397,361,941,994,799,104
  5. Step 5: Solve for x
    x = 443,313,397,361,941,994,799,104/309,275,461,520
  6. Step 6: Final answer
    x = 1,433,393,374,253.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.