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Finding the Third Proportional to 49,800 and 77,460

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Solution

The third proportional to 49,800 and 77,460 is: 120,482.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,800 : 77,460 = 77,460 : x
  2. Step 2: Convert to fraction form
    49,800/77,460 = 77,460/x
  3. Step 3: Cross multiply
    49,800x = 77,460 × 77,460
  4. Step 4: Simplify right side
    49,800x = 6,000,051,600
  5. Step 5: Solve for x
    x = 6,000,051,600/49,800
  6. Step 6: Final answer
    x = 120,482.96

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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.