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Finding the Third Proportional to 49,312 and 77,860

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Solution

The third proportional to 49,312 and 77,860 is: 122,935.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,312 : 77,860 = 77,860 : x
  2. Step 2: Convert to fraction form
    49,312/77,860 = 77,860/x
  3. Step 3: Cross multiply
    49,312x = 77,860 × 77,860
  4. Step 4: Simplify right side
    49,312x = 6,062,179,600
  5. Step 5: Solve for x
    x = 6,062,179,600/49,312
  6. Step 6: Final answer
    x = 122,935.18

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.