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Finding the Third Proportional to 302,010 and 442,862

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Solution

The third proportional to 302,010 and 442,862 is: 649,404.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,010 : 442,862 = 442,862 : x
  2. Step 2: Convert to fraction form
    302,010/442,862 = 442,862/x
  3. Step 3: Cross multiply
    302,010x = 442,862 × 442,862
  4. Step 4: Simplify right side
    302,010x = 196,126,751,044
  5. Step 5: Solve for x
    x = 196,126,751,044/302,010
  6. Step 6: Final answer
    x = 649,404.82

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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.