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Finding the Third Proportional to 186,628 and 251,430

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Solution

The third proportional to 186,628 and 251,430 is: 338,732.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,628 : 251,430 = 251,430 : x
  2. Step 2: Convert to fraction form
    186,628/251,430 = 251,430/x
  3. Step 3: Cross multiply
    186,628x = 251,430 × 251,430
  4. Step 4: Simplify right side
    186,628x = 63,217,044,900
  5. Step 5: Solve for x
    x = 63,217,044,900/186,628
  6. Step 6: Final answer
    x = 338,732.91

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.