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Finding the Third Proportional to 292,840 and 442,947

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Solution

The third proportional to 292,840 and 442,947 is: 669,997.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,840 : 442,947 = 442,947 : x
  2. Step 2: Convert to fraction form
    292,840/442,947 = 442,947/x
  3. Step 3: Cross multiply
    292,840x = 442,947 × 442,947
  4. Step 4: Simplify right side
    292,840x = 196,202,044,809
  5. Step 5: Solve for x
    x = 196,202,044,809/292,840
  6. Step 6: Final answer
    x = 669,997.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.