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Finding the Third Proportional to 272,301.75 and 423,002.25

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Solution

The third proportional to 272,301.75 and 423,002.25 is: 657,105.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,301.75 : 423,002.25 = 423,002.25 : x
  2. Step 2: Convert to fraction form
    272,301.75/423,002.25 = 423,002.25/x
  3. Step 3: Cross multiply
    272,301.75x = 423,002.25 × 423,002.25
  4. Step 4: Simplify right side
    272,301.75x = 178,930,903,505.06
  5. Step 5: Solve for x
    x = 178,930,903,505.06/272,301.75
  6. Step 6: Final answer
    x = 657,105.23

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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.