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Finding the Third Proportional to 506,900 and 708,680

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Solution

The third proportional to 506,900 and 708,680 is: 990,781.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,900 : 708,680 = 708,680 : x
  2. Step 2: Convert to fraction form
    506,900/708,680 = 708,680/x
  3. Step 3: Cross multiply
    506,900x = 708,680 × 708,680
  4. Step 4: Simplify right side
    506,900x = 502,227,342,400
  5. Step 5: Solve for x
    x = 502,227,342,400/506,900
  6. Step 6: Final answer
    x = 990,781.89

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.