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Finding the Third Proportional to 56,007 and 87,419.25

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Solution

The third proportional to 56,007 and 87,419.25 is: 136,449.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,007 : 87,419.25 = 87,419.25 : x
  2. Step 2: Convert to fraction form
    56,007/87,419.25 = 87,419.25/x
  3. Step 3: Cross multiply
    56,007x = 87,419.25 × 87,419.25
  4. Step 4: Simplify right side
    56,007x = 7,642,125,270.56
  5. Step 5: Solve for x
    x = 7,642,125,270.56/56,007
  6. Step 6: Final answer
    x = 136,449.47

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.