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Finding the Third Proportional to 186,585 and 281,220

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Solution

The third proportional to 186,585 and 281,220 is: 423,853.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,585 : 281,220 = 281,220 : x
  2. Step 2: Convert to fraction form
    186,585/281,220 = 281,220/x
  3. Step 3: Cross multiply
    186,585x = 281,220 × 281,220
  4. Step 4: Simplify right side
    186,585x = 79,084,688,400
  5. Step 5: Solve for x
    x = 79,084,688,400/186,585
  6. Step 6: Final answer
    x = 423,853.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.