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Finding the Third Proportional to 56,748 and 85,911

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Solution

The third proportional to 56,748 and 85,911 is: 130,060.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,748 : 85,911 = 85,911 : x
  2. Step 2: Convert to fraction form
    56,748/85,911 = 85,911/x
  3. Step 3: Cross multiply
    56,748x = 85,911 × 85,911
  4. Step 4: Simplify right side
    56,748x = 7,380,699,921
  5. Step 5: Solve for x
    x = 7,380,699,921/56,748
  6. Step 6: Final answer
    x = 130,060.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.