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Finding the Third Proportional to 161,380 and 354,607

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Solution

The third proportional to 161,380 and 354,607 is: 779,192.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,380 : 354,607 = 354,607 : x
  2. Step 2: Convert to fraction form
    161,380/354,607 = 354,607/x
  3. Step 3: Cross multiply
    161,380x = 354,607 × 354,607
  4. Step 4: Simplify right side
    161,380x = 125,746,124,449
  5. Step 5: Solve for x
    x = 125,746,124,449/161,380
  6. Step 6: Final answer
    x = 779,192.74

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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.