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Finding the Third Proportional to 285,354 and 442,458

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Solution

The third proportional to 285,354 and 442,458 is: 686,056.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,354 : 442,458 = 442,458 : x
  2. Step 2: Convert to fraction form
    285,354/442,458 = 442,458/x
  3. Step 3: Cross multiply
    285,354x = 442,458 × 442,458
  4. Step 4: Simplify right side
    285,354x = 195,769,081,764
  5. Step 5: Solve for x
    x = 195,769,081,764/285,354
  6. Step 6: Final answer
    x = 686,056.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.