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Finding the Third Proportional to 506,857 and 708,615

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Solution

The third proportional to 506,857 and 708,615 is: 990,684.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,857 : 708,615 = 708,615 : x
  2. Step 2: Convert to fraction form
    506,857/708,615 = 708,615/x
  3. Step 3: Cross multiply
    506,857x = 708,615 × 708,615
  4. Step 4: Simplify right side
    506,857x = 502,135,218,225
  5. Step 5: Solve for x
    x = 502,135,218,225/506,857
  6. Step 6: Final answer
    x = 990,684.19

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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.