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Finding the Third Proportional to 540,211.78 and 1,157,443.17

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Solution

The third proportional to 540,211.78 and 1,157,443.17 is: 2,479,906.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,211.78 : 1,157,443.17 = 1,157,443.17 : x
  2. Step 2: Convert to fraction form
    540,211.78/1,157,443.17 = 1,157,443.17/x
  3. Step 3: Cross multiply
    540,211.78x = 1,157,443.17 × 1,157,443.17
  4. Step 4: Simplify right side
    540,211.78x = 1,339,674,696,120.06
  5. Step 5: Solve for x
    x = 1,339,674,696,120.06/540,211.78
  6. Step 6: Final answer
    x = 2,479,906.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.