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Finding the Third Proportional to 39,156.75 and 70,534.13

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Solution

The third proportional to 39,156.75 and 70,534.13 is: 127,055.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,156.75 : 70,534.13 = 70,534.13 : x
  2. Step 2: Convert to fraction form
    39,156.75/70,534.13 = 70,534.13/x
  3. Step 3: Cross multiply
    39,156.75x = 70,534.13 × 70,534.13
  4. Step 4: Simplify right side
    39,156.75x = 4,975,062,789.52
  5. Step 5: Solve for x
    x = 4,975,062,789.52/39,156.75
  6. Step 6: Final answer
    x = 127,055.05

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.