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Finding the Third Proportional to 131,478.75 and 287,829

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Solution

The third proportional to 131,478.75 and 287,829 is: 630,105.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,478.75 : 287,829 = 287,829 : x
  2. Step 2: Convert to fraction form
    131,478.75/287,829 = 287,829/x
  3. Step 3: Cross multiply
    131,478.75x = 287,829 × 287,829
  4. Step 4: Simplify right side
    131,478.75x = 82,845,533,241
  5. Step 5: Solve for x
    x = 82,845,533,241/131,478.75
  6. Step 6: Final answer
    x = 630,105.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.