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Finding the Third Proportional to 151,428.75 and 235,139.25

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Solution

The third proportional to 151,428.75 and 235,139.25 is: 365,125.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,428.75 : 235,139.25 = 235,139.25 : x
  2. Step 2: Convert to fraction form
    151,428.75/235,139.25 = 235,139.25/x
  3. Step 3: Cross multiply
    151,428.75x = 235,139.25 × 235,139.25
  4. Step 4: Simplify right side
    151,428.75x = 55,290,466,890.56
  5. Step 5: Solve for x
    x = 55,290,466,890.56/151,428.75
  6. Step 6: Final answer
    x = 365,125.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.