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Finding the Third Proportional to 145,839.87 and 311,909.48

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Solution

The third proportional to 145,839.87 and 311,909.48 is: 667,084.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,839.87 : 311,909.48 = 311,909.48 : x
  2. Step 2: Convert to fraction form
    145,839.87/311,909.48 = 311,909.48/x
  3. Step 3: Cross multiply
    145,839.87x = 311,909.48 × 311,909.48
  4. Step 4: Simplify right side
    145,839.87x = 97,287,526,443.08
  5. Step 5: Solve for x
    x = 97,287,526,443.08/145,839.87
  6. Step 6: Final answer
    x = 667,084.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.