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Finding the Third Proportional to 140,125.50 and 213,428.25

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Solution

The third proportional to 140,125.50 and 213,428.25 is: 325,077.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,125.50 : 213,428.25 = 213,428.25 : x
  2. Step 2: Convert to fraction form
    140,125.50/213,428.25 = 213,428.25/x
  3. Step 3: Cross multiply
    140,125.50x = 213,428.25 × 213,428.25
  4. Step 4: Simplify right side
    140,125.50x = 45,551,617,898.06
  5. Step 5: Solve for x
    x = 45,551,617,898.06/140,125.50
  6. Step 6: Final answer
    x = 325,077.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.