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Finding the Third Proportional to 161,157 and 354,480

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Solution

The third proportional to 161,157 and 354,480 is: 779,712.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,157 : 354,480 = 354,480 : x
  2. Step 2: Convert to fraction form
    161,157/354,480 = 354,480/x
  3. Step 3: Cross multiply
    161,157x = 354,480 × 354,480
  4. Step 4: Simplify right side
    161,157x = 125,656,070,400
  5. Step 5: Solve for x
    x = 125,656,070,400/161,157
  6. Step 6: Final answer
    x = 779,712.15

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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.