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Finding the Third Proportional to 48,520 and 77,155

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Solution

The third proportional to 48,520 and 77,155 is: 122,689.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,520 : 77,155 = 77,155 : x
  2. Step 2: Convert to fraction form
    48,520/77,155 = 77,155/x
  3. Step 3: Cross multiply
    48,520x = 77,155 × 77,155
  4. Step 4: Simplify right side
    48,520x = 5,952,894,025
  5. Step 5: Solve for x
    x = 5,952,894,025/48,520
  6. Step 6: Final answer
    x = 122,689.49

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.