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Finding the Third Proportional to 143,502.89 and 314,195.20

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Solution

The third proportional to 143,502.89 and 314,195.20 is: 687,920.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,502.89 : 314,195.20 = 314,195.20 : x
  2. Step 2: Convert to fraction form
    143,502.89/314,195.20 = 314,195.20/x
  3. Step 3: Cross multiply
    143,502.89x = 314,195.20 × 314,195.20
  4. Step 4: Simplify right side
    143,502.89x = 98,718,625,666.76
  5. Step 5: Solve for x
    x = 98,718,625,666.76/143,502.89
  6. Step 6: Final answer
    x = 687,920.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.