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Finding the Third Proportional to 506,910 and 708,696

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Solution

The third proportional to 506,910 and 708,696 is: 990,807.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,910 : 708,696 = 708,696 : x
  2. Step 2: Convert to fraction form
    506,910/708,696 = 708,696/x
  3. Step 3: Cross multiply
    506,910x = 708,696 × 708,696
  4. Step 4: Simplify right side
    506,910x = 502,250,020,416
  5. Step 5: Solve for x
    x = 502,250,020,416/506,910
  6. Step 6: Final answer
    x = 990,807.09

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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.