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Finding the Third Proportional to 124,390 and 186,389

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Solution

The third proportional to 124,390 and 186,389 is: 279,289.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,390 : 186,389 = 186,389 : x
  2. Step 2: Convert to fraction form
    124,390/186,389 = 186,389/x
  3. Step 3: Cross multiply
    124,390x = 186,389 × 186,389
  4. Step 4: Simplify right side
    124,390x = 34,740,859,321
  5. Step 5: Solve for x
    x = 34,740,859,321/124,390
  6. Step 6: Final answer
    x = 279,289.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.