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Finding the Third Proportional to 506,861 and 708,622

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Solution

The third proportional to 506,861 and 708,622 is: 990,695.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,861 : 708,622 = 708,622 : x
  2. Step 2: Convert to fraction form
    506,861/708,622 = 708,622/x
  3. Step 3: Cross multiply
    506,861x = 708,622 × 708,622
  4. Step 4: Simplify right side
    506,861x = 502,145,138,884
  5. Step 5: Solve for x
    x = 502,145,138,884/506,861
  6. Step 6: Final answer
    x = 990,695.95

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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.