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Finding the Third Proportional to 161,720 and 245,844

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Solution

The third proportional to 161,720 and 245,844 is: 373,727.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,720 : 245,844 = 245,844 : x
  2. Step 2: Convert to fraction form
    161,720/245,844 = 245,844/x
  3. Step 3: Cross multiply
    161,720x = 245,844 × 245,844
  4. Step 4: Simplify right side
    161,720x = 60,439,272,336
  5. Step 5: Solve for x
    x = 60,439,272,336/161,720
  6. Step 6: Final answer
    x = 373,727.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.