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Finding the Third Proportional to 56,350 and 87,207

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Solution

The third proportional to 56,350 and 87,207 is: 134,961.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,350 : 87,207 = 87,207 : x
  2. Step 2: Convert to fraction form
    56,350/87,207 = 87,207/x
  3. Step 3: Cross multiply
    56,350x = 87,207 × 87,207
  4. Step 4: Simplify right side
    56,350x = 7,605,060,849
  5. Step 5: Solve for x
    x = 7,605,060,849/56,350
  6. Step 6: Final answer
    x = 134,961.15

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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.