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Finding the Third Proportional to 143,290.13 and 311,456.81

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Solution

The third proportional to 143,290.13 and 311,456.81 is: 676,985.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,290.13 : 311,456.81 = 311,456.81 : x
  2. Step 2: Convert to fraction form
    143,290.13/311,456.81 = 311,456.81/x
  3. Step 3: Cross multiply
    143,290.13x = 311,456.81 × 311,456.81
  4. Step 4: Simplify right side
    143,290.13x = 97,005,346,052.66
  5. Step 5: Solve for x
    x = 97,005,346,052.66/143,290.13
  6. Step 6: Final answer
    x = 676,985.56

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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.