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Finding the Third Proportional to 49,680 and 77,544

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Solution

The third proportional to 49,680 and 77,544 is: 121,036.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,680 : 77,544 = 77,544 : x
  2. Step 2: Convert to fraction form
    49,680/77,544 = 77,544/x
  3. Step 3: Cross multiply
    49,680x = 77,544 × 77,544
  4. Step 4: Simplify right side
    49,680x = 6,013,071,936
  5. Step 5: Solve for x
    x = 6,013,071,936/49,680
  6. Step 6: Final answer
    x = 121,036.07

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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.