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Finding the Third Proportional to 310,520 and 668,607

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Solution

The third proportional to 310,520 and 668,607 is: 1,439,634.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,520 : 668,607 = 668,607 : x
  2. Step 2: Convert to fraction form
    310,520/668,607 = 668,607/x
  3. Step 3: Cross multiply
    310,520x = 668,607 × 668,607
  4. Step 4: Simplify right side
    310,520x = 447,035,320,449
  5. Step 5: Solve for x
    x = 447,035,320,449/310,520
  6. Step 6: Final answer
    x = 1,439,634.55

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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.