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Finding the Third Proportional to 125,960 and 266,139

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Solution

The third proportional to 125,960 and 266,139 is: 562,321.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,960 : 266,139 = 266,139 : x
  2. Step 2: Convert to fraction form
    125,960/266,139 = 266,139/x
  3. Step 3: Cross multiply
    125,960x = 266,139 × 266,139
  4. Step 4: Simplify right side
    125,960x = 70,829,967,321
  5. Step 5: Solve for x
    x = 70,829,967,321/125,960
  6. Step 6: Final answer
    x = 562,321.11

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.