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Finding the Third Proportional to 238,726.85 and 518,139.60

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Solution

The third proportional to 238,726.85 and 518,139.60 is: 1,124,585.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,726.85 : 518,139.60 = 518,139.60 : x
  2. Step 2: Convert to fraction form
    238,726.85/518,139.60 = 518,139.60/x
  3. Step 3: Cross multiply
    238,726.85x = 518,139.60 × 518,139.60
  4. Step 4: Simplify right side
    238,726.85x = 268,468,642,659.37
  5. Step 5: Solve for x
    x = 268,468,642,659.37/238,726.85
  6. Step 6: Final answer
    x = 1,124,585.01

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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.