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Finding the Third Proportional to 278,720 and 420,672

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Solution

The third proportional to 278,720 and 420,672 is: 634,920.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,720 : 420,672 = 420,672 : x
  2. Step 2: Convert to fraction form
    278,720/420,672 = 420,672/x
  3. Step 3: Cross multiply
    278,720x = 420,672 × 420,672
  4. Step 4: Simplify right side
    278,720x = 176,964,931,584
  5. Step 5: Solve for x
    x = 176,964,931,584/278,720
  6. Step 6: Final answer
    x = 634,920.10

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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.