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Finding the Third Proportional to 357,892 and 779,720

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Solution

The third proportional to 357,892 and 779,720 is: 1,698,733.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,892 : 779,720 = 779,720 : x
  2. Step 2: Convert to fraction form
    357,892/779,720 = 779,720/x
  3. Step 3: Cross multiply
    357,892x = 779,720 × 779,720
  4. Step 4: Simplify right side
    357,892x = 607,963,278,400
  5. Step 5: Solve for x
    x = 607,963,278,400/357,892
  6. Step 6: Final answer
    x = 1,698,733.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.