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Finding the Third Proportional to 143,086.13 and 310,774.88

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Solution

The third proportional to 143,086.13 and 310,774.88 is: 674,985.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,086.13 : 310,774.88 = 310,774.88 : x
  2. Step 2: Convert to fraction form
    143,086.13/310,774.88 = 310,774.88/x
  3. Step 3: Cross multiply
    143,086.13x = 310,774.88 × 310,774.88
  4. Step 4: Simplify right side
    143,086.13x = 96,581,022,931.27
  5. Step 5: Solve for x
    x = 96,581,022,931.27/143,086.13
  6. Step 6: Final answer
    x = 674,985.24

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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.