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Finding the Third Proportional to 286,132.50 and 420,876

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Solution

The third proportional to 286,132.50 and 420,876 is: 619,071.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,132.50 : 420,876 = 420,876 : x
  2. Step 2: Convert to fraction form
    286,132.50/420,876 = 420,876/x
  3. Step 3: Cross multiply
    286,132.50x = 420,876 × 420,876
  4. Step 4: Simplify right side
    286,132.50x = 177,136,607,376
  5. Step 5: Solve for x
    x = 177,136,607,376/286,132.50
  6. Step 6: Final answer
    x = 619,071.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.