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Finding the Third Proportional to 121,476 and 266,352

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Solution

The third proportional to 121,476 and 266,352 is: 584,011.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,476 : 266,352 = 266,352 : x
  2. Step 2: Convert to fraction form
    121,476/266,352 = 266,352/x
  3. Step 3: Cross multiply
    121,476x = 266,352 × 266,352
  4. Step 4: Simplify right side
    121,476x = 70,943,387,904
  5. Step 5: Solve for x
    x = 70,943,387,904/121,476
  6. Step 6: Final answer
    x = 584,011.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.