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Finding the Third Proportional to 145,251.56 and 313,446.38

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Solution

The third proportional to 145,251.56 and 313,446.38 is: 676,403.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,251.56 : 313,446.38 = 313,446.38 : x
  2. Step 2: Convert to fraction form
    145,251.56/313,446.38 = 313,446.38/x
  3. Step 3: Cross multiply
    145,251.56x = 313,446.38 × 313,446.38
  4. Step 4: Simplify right side
    145,251.56x = 98,248,630,000.64
  5. Step 5: Solve for x
    x = 98,248,630,000.64/145,251.56
  6. Step 6: Final answer
    x = 676,403.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.