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Finding the Third Proportional to 161,815 and 253,291

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Solution

The third proportional to 161,815 and 253,291 is: 396,479.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,815 : 253,291 = 253,291 : x
  2. Step 2: Convert to fraction form
    161,815/253,291 = 253,291/x
  3. Step 3: Cross multiply
    161,815x = 253,291 × 253,291
  4. Step 4: Simplify right side
    161,815x = 64,156,330,681
  5. Step 5: Solve for x
    x = 64,156,330,681/161,815
  6. Step 6: Final answer
    x = 396,479.50

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.