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Finding the Third Proportional to 278,388 and 432,165

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Solution

The third proportional to 278,388 and 432,165 is: 670,885.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,388 : 432,165 = 432,165 : x
  2. Step 2: Convert to fraction form
    278,388/432,165 = 432,165/x
  3. Step 3: Cross multiply
    278,388x = 432,165 × 432,165
  4. Step 4: Simplify right side
    278,388x = 186,766,587,225
  5. Step 5: Solve for x
    x = 186,766,587,225/278,388
  6. Step 6: Final answer
    x = 670,885.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.