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Finding the Third Proportional to 85,488 and 186,708

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Solution

The third proportional to 85,488 and 186,708 is: 407,775.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,488 : 186,708 = 186,708 : x
  2. Step 2: Convert to fraction form
    85,488/186,708 = 186,708/x
  3. Step 3: Cross multiply
    85,488x = 186,708 × 186,708
  4. Step 4: Simplify right side
    85,488x = 34,859,877,264
  5. Step 5: Solve for x
    x = 34,859,877,264/85,488
  6. Step 6: Final answer
    x = 407,775.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.