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Finding the Third Proportional to 186,940 and 282,640

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Solution

The third proportional to 186,940 and 282,640 is: 427,331.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,940 : 282,640 = 282,640 : x
  2. Step 2: Convert to fraction form
    186,940/282,640 = 282,640/x
  3. Step 3: Cross multiply
    186,940x = 282,640 × 282,640
  4. Step 4: Simplify right side
    186,940x = 79,885,369,600
  5. Step 5: Solve for x
    x = 79,885,369,600/186,940
  6. Step 6: Final answer
    x = 427,331.60

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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.