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Finding the Third Proportional to 145,294.38 and 313,525.25

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Solution

The third proportional to 145,294.38 and 313,525.25 is: 676,544.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,294.38 : 313,525.25 = 313,525.25 : x
  2. Step 2: Convert to fraction form
    145,294.38/313,525.25 = 313,525.25/x
  3. Step 3: Cross multiply
    145,294.38x = 313,525.25 × 313,525.25
  4. Step 4: Simplify right side
    145,294.38x = 98,298,082,387.56
  5. Step 5: Solve for x
    x = 98,298,082,387.56/145,294.38
  6. Step 6: Final answer
    x = 676,544.31

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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.