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Finding the Third Proportional to 138,693 and 203,102.50

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Solution

The third proportional to 138,693 and 203,102.50 is: 297,423.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,693 : 203,102.50 = 203,102.50 : x
  2. Step 2: Convert to fraction form
    138,693/203,102.50 = 203,102.50/x
  3. Step 3: Cross multiply
    138,693x = 203,102.50 × 203,102.50
  4. Step 4: Simplify right side
    138,693x = 41,250,625,506.25
  5. Step 5: Solve for x
    x = 41,250,625,506.25/138,693
  6. Step 6: Final answer
    x = 297,423.99

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.