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Finding the Third Proportional to 186,748 and 280,257

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Solution

The third proportional to 186,748 and 280,257 is: 420,588.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,748 : 280,257 = 280,257 : x
  2. Step 2: Convert to fraction form
    186,748/280,257 = 280,257/x
  3. Step 3: Cross multiply
    186,748x = 280,257 × 280,257
  4. Step 4: Simplify right side
    186,748x = 78,543,986,049
  5. Step 5: Solve for x
    x = 78,543,986,049/186,748
  6. Step 6: Final answer
    x = 420,588.10

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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.