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Finding the Third Proportional to 161,685 and 340,112.25

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Solution

The third proportional to 161,685 and 340,112.25 is: 715,442.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,685 : 340,112.25 = 340,112.25 : x
  2. Step 2: Convert to fraction form
    161,685/340,112.25 = 340,112.25/x
  3. Step 3: Cross multiply
    161,685x = 340,112.25 × 340,112.25
  4. Step 4: Simplify right side
    161,685x = 115,676,342,600.06
  5. Step 5: Solve for x
    x = 115,676,342,600.06/161,685
  6. Step 6: Final answer
    x = 715,442.64

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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.