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Finding the Third Proportional to 153,538 and 361,921

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Solution

The third proportional to 153,538 and 361,921 is: 853,123.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,538 : 361,921 = 361,921 : x
  2. Step 2: Convert to fraction form
    153,538/361,921 = 361,921/x
  3. Step 3: Cross multiply
    153,538x = 361,921 × 361,921
  4. Step 4: Simplify right side
    153,538x = 130,986,810,241
  5. Step 5: Solve for x
    x = 130,986,810,241/153,538
  6. Step 6: Final answer
    x = 853,123.07

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.