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Finding the Third Proportional to 121,348.13 and 263,320.88

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Solution

The third proportional to 121,348.13 and 263,320.88 is: 571,396.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,348.13 : 263,320.88 = 263,320.88 : x
  2. Step 2: Convert to fraction form
    121,348.13/263,320.88 = 263,320.88/x
  3. Step 3: Cross multiply
    121,348.13x = 263,320.88 × 263,320.88
  4. Step 4: Simplify right side
    121,348.13x = 69,337,883,210.77
  5. Step 5: Solve for x
    x = 69,337,883,210.77/121,348.13
  6. Step 6: Final answer
    x = 571,396.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.