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Finding the Third Proportional to 56,419.50 and 87,643

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Solution

The third proportional to 56,419.50 and 87,643 is: 136,146.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,419.50 : 87,643 = 87,643 : x
  2. Step 2: Convert to fraction form
    56,419.50/87,643 = 87,643/x
  3. Step 3: Cross multiply
    56,419.50x = 87,643 × 87,643
  4. Step 4: Simplify right side
    56,419.50x = 7,681,295,449
  5. Step 5: Solve for x
    x = 7,681,295,449/56,419.50
  6. Step 6: Final answer
    x = 136,146.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.