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Finding the Third Proportional to 56,349 and 87,759

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Solution

The third proportional to 56,349 and 87,759 is: 136,677.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,349 : 87,759 = 87,759 : x
  2. Step 2: Convert to fraction form
    56,349/87,759 = 87,759/x
  3. Step 3: Cross multiply
    56,349x = 87,759 × 87,759
  4. Step 4: Simplify right side
    56,349x = 7,701,642,081
  5. Step 5: Solve for x
    x = 7,701,642,081/56,349
  6. Step 6: Final answer
    x = 136,677.53

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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.