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Finding the Third Proportional to 145,251.75 and 314,631.38

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Solution

The third proportional to 145,251.75 and 314,631.38 is: 681,526.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,251.75 : 314,631.38 = 314,631.38 : x
  2. Step 2: Convert to fraction form
    145,251.75/314,631.38 = 314,631.38/x
  3. Step 3: Cross multiply
    145,251.75x = 314,631.38 × 314,631.38
  4. Step 4: Simplify right side
    145,251.75x = 98,992,902,134.39
  5. Step 5: Solve for x
    x = 98,992,902,134.39/145,251.75
  6. Step 6: Final answer
    x = 681,526.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.