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Finding the Third Proportional to 77,552 and 124,426

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Solution

The third proportional to 77,552 and 124,426 is: 199,631.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,552 : 124,426 = 124,426 : x
  2. Step 2: Convert to fraction form
    77,552/124,426 = 124,426/x
  3. Step 3: Cross multiply
    77,552x = 124,426 × 124,426
  4. Step 4: Simplify right side
    77,552x = 15,481,829,476
  5. Step 5: Solve for x
    x = 15,481,829,476/77,552
  6. Step 6: Final answer
    x = 199,631.60

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.