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Finding the Third Proportional to 186,018 and 278,291

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Solution

The third proportional to 186,018 and 278,291 is: 416,335.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,018 : 278,291 = 278,291 : x
  2. Step 2: Convert to fraction form
    186,018/278,291 = 278,291/x
  3. Step 3: Cross multiply
    186,018x = 278,291 × 278,291
  4. Step 4: Simplify right side
    186,018x = 77,445,880,681
  5. Step 5: Solve for x
    x = 77,445,880,681/186,018
  6. Step 6: Final answer
    x = 416,335.41

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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.