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Finding the Third Proportional to 418,558 and 626,202

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Solution

The third proportional to 418,558 and 626,202 is: 936,856.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,558 : 626,202 = 626,202 : x
  2. Step 2: Convert to fraction form
    418,558/626,202 = 626,202/x
  3. Step 3: Cross multiply
    418,558x = 626,202 × 626,202
  4. Step 4: Simplify right side
    418,558x = 392,128,944,804
  5. Step 5: Solve for x
    x = 392,128,944,804/418,558
  6. Step 6: Final answer
    x = 936,856.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.