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Finding the Third Proportional to 517,800 and 695,376

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Solution

The third proportional to 517,800 and 695,376 is: 933,850.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,800 : 695,376 = 695,376 : x
  2. Step 2: Convert to fraction form
    517,800/695,376 = 695,376/x
  3. Step 3: Cross multiply
    517,800x = 695,376 × 695,376
  4. Step 4: Simplify right side
    517,800x = 483,547,781,376
  5. Step 5: Solve for x
    x = 483,547,781,376/517,800
  6. Step 6: Final answer
    x = 933,850.49

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.