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Finding the Third Proportional to 151,428.75 and 220,569.75

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Solution

The third proportional to 151,428.75 and 220,569.75 is: 321,279.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,428.75 : 220,569.75 = 220,569.75 : x
  2. Step 2: Convert to fraction form
    151,428.75/220,569.75 = 220,569.75/x
  3. Step 3: Cross multiply
    151,428.75x = 220,569.75 × 220,569.75
  4. Step 4: Simplify right side
    151,428.75x = 48,651,014,615.06
  5. Step 5: Solve for x
    x = 48,651,014,615.06/151,428.75
  6. Step 6: Final answer
    x = 321,279.91

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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.