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Finding the Third Proportional to 50,552 and 77,437

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Solution

The third proportional to 50,552 and 77,437 is: 118,620.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,552 : 77,437 = 77,437 : x
  2. Step 2: Convert to fraction form
    50,552/77,437 = 77,437/x
  3. Step 3: Cross multiply
    50,552x = 77,437 × 77,437
  4. Step 4: Simplify right side
    50,552x = 5,996,488,969
  5. Step 5: Solve for x
    x = 5,996,488,969/50,552
  6. Step 6: Final answer
    x = 118,620.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.