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Finding the Third Proportional to 285,866 and 420,239

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Solution

The third proportional to 285,866 and 420,239 is: 617,774.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,866 : 420,239 = 420,239 : x
  2. Step 2: Convert to fraction form
    285,866/420,239 = 420,239/x
  3. Step 3: Cross multiply
    285,866x = 420,239 × 420,239
  4. Step 4: Simplify right side
    285,866x = 176,600,817,121
  5. Step 5: Solve for x
    x = 176,600,817,121/285,866
  6. Step 6: Final answer
    x = 617,774.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.