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Finding the Third Proportional to 181,384.31 and 423,560.39

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Solution

The third proportional to 181,384.31 and 423,560.39 is: 989,078.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,384.31 : 423,560.39 = 423,560.39 : x
  2. Step 2: Convert to fraction form
    181,384.31/423,560.39 = 423,560.39/x
  3. Step 3: Cross multiply
    181,384.31x = 423,560.39 × 423,560.39
  4. Step 4: Simplify right side
    181,384.31x = 179,403,404,506.40
  5. Step 5: Solve for x
    x = 179,403,404,506.40/181,384.31
  6. Step 6: Final answer
    x = 989,078.95

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.