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Finding the Third Proportional to 49,730 and 77,619

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Solution

The third proportional to 49,730 and 77,619 is: 121,148.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,730 : 77,619 = 77,619 : x
  2. Step 2: Convert to fraction form
    49,730/77,619 = 77,619/x
  3. Step 3: Cross multiply
    49,730x = 77,619 × 77,619
  4. Step 4: Simplify right side
    49,730x = 6,024,709,161
  5. Step 5: Solve for x
    x = 6,024,709,161/49,730
  6. Step 6: Final answer
    x = 121,148.38

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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.