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Finding the Third Proportional to 208,342.13 and 311,141.25

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Solution

The third proportional to 208,342.13 and 311,141.25 is: 464,663.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,342.13 : 311,141.25 = 311,141.25 : x
  2. Step 2: Convert to fraction form
    208,342.13/311,141.25 = 311,141.25/x
  3. Step 3: Cross multiply
    208,342.13x = 311,141.25 × 311,141.25
  4. Step 4: Simplify right side
    208,342.13x = 96,808,877,451.56
  5. Step 5: Solve for x
    x = 96,808,877,451.56/208,342.13
  6. Step 6: Final answer
    x = 464,663.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.