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Finding the Third Proportional to 147,689 and 323,972

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Solution

The third proportional to 147,689 and 323,972 is: 710,668.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,689 : 323,972 = 323,972 : x
  2. Step 2: Convert to fraction form
    147,689/323,972 = 323,972/x
  3. Step 3: Cross multiply
    147,689x = 323,972 × 323,972
  4. Step 4: Simplify right side
    147,689x = 104,957,856,784
  5. Step 5: Solve for x
    x = 104,957,856,784/147,689
  6. Step 6: Final answer
    x = 710,668.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.