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Finding the Third Proportional to 161,691.82 and 340,143.05

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Solution

The third proportional to 161,691.82 and 340,143.05 is: 715,542.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,691.82 : 340,143.05 = 340,143.05 : x
  2. Step 2: Convert to fraction form
    161,691.82/340,143.05 = 340,143.05/x
  3. Step 3: Cross multiply
    161,691.82x = 340,143.05 × 340,143.05
  4. Step 4: Simplify right side
    161,691.82x = 115,697,292,337.41
  5. Step 5: Solve for x
    x = 115,697,292,337.41/161,691.82
  6. Step 6: Final answer
    x = 715,542.02

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.