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Finding the Third Proportional to 121,138.03 and 265,569.47

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Solution

The third proportional to 121,138.03 and 265,569.47 is: 582,204.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,138.03 : 265,569.47 = 265,569.47 : x
  2. Step 2: Convert to fraction form
    121,138.03/265,569.47 = 265,569.47/x
  3. Step 3: Cross multiply
    121,138.03x = 265,569.47 × 265,569.47
  4. Step 4: Simplify right side
    121,138.03x = 70,527,142,732.16
  5. Step 5: Solve for x
    x = 70,527,142,732.16/121,138.03
  6. Step 6: Final answer
    x = 582,204.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.