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Finding the Third Proportional to 161,488.69 and 340,458.19

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Solution

The third proportional to 161,488.69 and 340,458.19 is: 717,770.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,488.69 : 340,458.19 = 340,458.19 : x
  2. Step 2: Convert to fraction form
    161,488.69/340,458.19 = 340,458.19/x
  3. Step 3: Cross multiply
    161,488.69x = 340,458.19 × 340,458.19
  4. Step 4: Simplify right side
    161,488.69x = 115,911,777,435.79
  5. Step 5: Solve for x
    x = 115,911,777,435.79/161,488.69
  6. Step 6: Final answer
    x = 717,770.26

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.