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Finding the Third Proportional to 138,324 and 201,432

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Solution

The third proportional to 138,324 and 201,432 is: 293,331.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,324 : 201,432 = 201,432 : x
  2. Step 2: Convert to fraction form
    138,324/201,432 = 201,432/x
  3. Step 3: Cross multiply
    138,324x = 201,432 × 201,432
  4. Step 4: Simplify right side
    138,324x = 40,574,850,624
  5. Step 5: Solve for x
    x = 40,574,850,624/138,324
  6. Step 6: Final answer
    x = 293,331.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.