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Finding the Third Proportional to 142,607.25 and 309,849.75

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Solution

The third proportional to 142,607.25 and 309,849.75 is: 673,225.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,607.25 : 309,849.75 = 309,849.75 : x
  2. Step 2: Convert to fraction form
    142,607.25/309,849.75 = 309,849.75/x
  3. Step 3: Cross multiply
    142,607.25x = 309,849.75 × 309,849.75
  4. Step 4: Simplify right side
    142,607.25x = 96,006,867,575.06
  5. Step 5: Solve for x
    x = 96,006,867,575.06/142,607.25
  6. Step 6: Final answer
    x = 673,225.71

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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.