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Finding the Third Proportional to 121,332 and 260,226

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Solution

The third proportional to 121,332 and 260,226 is: 558,117.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,332 : 260,226 = 260,226 : x
  2. Step 2: Convert to fraction form
    121,332/260,226 = 260,226/x
  3. Step 3: Cross multiply
    121,332x = 260,226 × 260,226
  4. Step 4: Simplify right side
    121,332x = 67,717,571,076
  5. Step 5: Solve for x
    x = 67,717,571,076/121,332
  6. Step 6: Final answer
    x = 558,117.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.