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Finding the Third Proportional to 133,476.75 and 138,397.50

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Solution

The third proportional to 133,476.75 and 138,397.50 is: 143,499.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,476.75 : 138,397.50 = 138,397.50 : x
  2. Step 2: Convert to fraction form
    133,476.75/138,397.50 = 138,397.50/x
  3. Step 3: Cross multiply
    133,476.75x = 138,397.50 × 138,397.50
  4. Step 4: Simplify right side
    133,476.75x = 19,153,868,006.25
  5. Step 5: Solve for x
    x = 19,153,868,006.25/133,476.75
  6. Step 6: Final answer
    x = 143,499.66

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Why These Related Problems?

These problems maintain the same ratio (1.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.