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Finding the Third Proportional to 56,501 and 76,649

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Solution

The third proportional to 56,501 and 76,649 is: 103,981.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,501 : 76,649 = 76,649 : x
  2. Step 2: Convert to fraction form
    56,501/76,649 = 76,649/x
  3. Step 3: Cross multiply
    56,501x = 76,649 × 76,649
  4. Step 4: Simplify right side
    56,501x = 5,875,069,201
  5. Step 5: Solve for x
    x = 5,875,069,201/56,501
  6. Step 6: Final answer
    x = 103,981.69

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.