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Finding the Third Proportional to 302,005 and 442,856

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Solution

The third proportional to 302,005 and 442,856 is: 649,397.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,005 : 442,856 = 442,856 : x
  2. Step 2: Convert to fraction form
    302,005/442,856 = 442,856/x
  3. Step 3: Cross multiply
    302,005x = 442,856 × 442,856
  4. Step 4: Simplify right side
    302,005x = 196,121,436,736
  5. Step 5: Solve for x
    x = 196,121,436,736/302,005
  6. Step 6: Final answer
    x = 649,397.98

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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.