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Finding the Third Proportional to 278,432.44 and 418,878.84

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Solution

The third proportional to 278,432.44 and 418,878.84 is: 630,168.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,432.44 : 418,878.84 = 418,878.84 : x
  2. Step 2: Convert to fraction form
    278,432.44/418,878.84 = 418,878.84/x
  3. Step 3: Cross multiply
    278,432.44x = 418,878.84 × 418,878.84
  4. Step 4: Simplify right side
    278,432.44x = 175,459,485,741.34
  5. Step 5: Solve for x
    x = 175,459,485,741.34/278,432.44
  6. Step 6: Final answer
    x = 630,168.98

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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.