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Finding the Third Proportional to 186,776 and 266,860

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Solution

The third proportional to 186,776 and 266,860 is: 381,281.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,776 : 266,860 = 266,860 : x
  2. Step 2: Convert to fraction form
    186,776/266,860 = 266,860/x
  3. Step 3: Cross multiply
    186,776x = 266,860 × 266,860
  4. Step 4: Simplify right side
    186,776x = 71,214,259,600
  5. Step 5: Solve for x
    x = 71,214,259,600/186,776
  6. Step 6: Final answer
    x = 381,281.64

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.