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Finding the Third Proportional to 138,133.50 and 213,302.25

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Solution

The third proportional to 138,133.50 and 213,302.25 is: 329,375.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,133.50 : 213,302.25 = 213,302.25 : x
  2. Step 2: Convert to fraction form
    138,133.50/213,302.25 = 213,302.25/x
  3. Step 3: Cross multiply
    138,133.50x = 213,302.25 × 213,302.25
  4. Step 4: Simplify right side
    138,133.50x = 45,497,849,855.06
  5. Step 5: Solve for x
    x = 45,497,849,855.06/138,133.50
  6. Step 6: Final answer
    x = 329,375.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.