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Finding the Third Proportional to 49,775 and 77,070

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Solution

The third proportional to 49,775 and 77,070 is: 119,332.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,775 : 77,070 = 77,070 : x
  2. Step 2: Convert to fraction form
    49,775/77,070 = 77,070/x
  3. Step 3: Cross multiply
    49,775x = 77,070 × 77,070
  4. Step 4: Simplify right side
    49,775x = 5,939,784,900
  5. Step 5: Solve for x
    x = 5,939,784,900/49,775
  6. Step 6: Final answer
    x = 119,332.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.