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Finding the Third Proportional to 161,139 and 354,498

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Solution

The third proportional to 161,139 and 354,498 is: 779,878.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,139 : 354,498 = 354,498 : x
  2. Step 2: Convert to fraction form
    161,139/354,498 = 354,498/x
  3. Step 3: Cross multiply
    161,139x = 354,498 × 354,498
  4. Step 4: Simplify right side
    161,139x = 125,668,832,004
  5. Step 5: Solve for x
    x = 125,668,832,004/161,139
  6. Step 6: Final answer
    x = 779,878.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.