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Finding the Third Proportional to 84,102 and 133,737

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Solution

The third proportional to 84,102 and 133,737 is: 212,665.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,102 : 133,737 = 133,737 : x
  2. Step 2: Convert to fraction form
    84,102/133,737 = 133,737/x
  3. Step 3: Cross multiply
    84,102x = 133,737 × 133,737
  4. Step 4: Simplify right side
    84,102x = 17,885,585,169
  5. Step 5: Solve for x
    x = 17,885,585,169/84,102
  6. Step 6: Final answer
    x = 212,665.40

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.