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Finding the Third Proportional to 207,424 and 404,480

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Solution

The third proportional to 207,424 and 404,480 is: 788,742.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,424 : 404,480 = 404,480 : x
  2. Step 2: Convert to fraction form
    207,424/404,480 = 404,480/x
  3. Step 3: Cross multiply
    207,424x = 404,480 × 404,480
  4. Step 4: Simplify right side
    207,424x = 163,604,070,400
  5. Step 5: Solve for x
    x = 163,604,070,400/207,424
  6. Step 6: Final answer
    x = 788,742.24

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.