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Finding the Third Proportional to 72,369 and 103,394

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Solution

The third proportional to 72,369 and 103,394 is: 147,719.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,369 : 103,394 = 103,394 : x
  2. Step 2: Convert to fraction form
    72,369/103,394 = 103,394/x
  3. Step 3: Cross multiply
    72,369x = 103,394 × 103,394
  4. Step 4: Simplify right side
    72,369x = 10,690,319,236
  5. Step 5: Solve for x
    x = 10,690,319,236/72,369
  6. Step 6: Final answer
    x = 147,719.59

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.