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Finding the Third Proportional to 506,896 and 708,676

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Solution

The third proportional to 506,896 and 708,676 is: 990,778.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,896 : 708,676 = 708,676 : x
  2. Step 2: Convert to fraction form
    506,896/708,676 = 708,676/x
  3. Step 3: Cross multiply
    506,896x = 708,676 × 708,676
  4. Step 4: Simplify right side
    506,896x = 502,221,672,976
  5. Step 5: Solve for x
    x = 502,221,672,976/506,896
  6. Step 6: Final answer
    x = 990,778.53

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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.