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Finding the Third Proportional to 309,230,656 and 662,726,720

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Solution

The third proportional to 309,230,656 and 662,726,720 is: 1,420,320,711.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,230,656 : 662,726,720 = 662,726,720 : x
  2. Step 2: Convert to fraction form
    309,230,656/662,726,720 = 662,726,720/x
  3. Step 3: Cross multiply
    309,230,656x = 662,726,720 × 662,726,720
  4. Step 4: Simplify right side
    309,230,656x = 439,206,705,401,958,400
  5. Step 5: Solve for x
    x = 439,206,705,401,958,400/309,230,656
  6. Step 6: Final answer
    x = 1,420,320,711.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.