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Finding the Third Proportional to 56,356 and 87,217

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Solution

The third proportional to 56,356 and 87,217 is: 134,977.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,356 : 87,217 = 87,217 : x
  2. Step 2: Convert to fraction form
    56,356/87,217 = 87,217/x
  3. Step 3: Cross multiply
    56,356x = 87,217 × 87,217
  4. Step 4: Simplify right side
    56,356x = 7,606,805,089
  5. Step 5: Solve for x
    x = 7,606,805,089/56,356
  6. Step 6: Final answer
    x = 134,977.73

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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.