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Finding the Third Proportional to 56,415 and 87,069

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Solution

The third proportional to 56,415 and 87,069 is: 134,379.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,415 : 87,069 = 87,069 : x
  2. Step 2: Convert to fraction form
    56,415/87,069 = 87,069/x
  3. Step 3: Cross multiply
    56,415x = 87,069 × 87,069
  4. Step 4: Simplify right side
    56,415x = 7,581,010,761
  5. Step 5: Solve for x
    x = 7,581,010,761/56,415
  6. Step 6: Final answer
    x = 134,379.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.