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Finding the Third Proportional to 186,790 and 282,129

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Solution

The third proportional to 186,790 and 282,129 is: 426,129.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,790 : 282,129 = 282,129 : x
  2. Step 2: Convert to fraction form
    186,790/282,129 = 282,129/x
  3. Step 3: Cross multiply
    186,790x = 282,129 × 282,129
  4. Step 4: Simplify right side
    186,790x = 79,596,772,641
  5. Step 5: Solve for x
    x = 79,596,772,641/186,790
  6. Step 6: Final answer
    x = 426,129.73

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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.