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Finding the Third Proportional to 155,451 and 411,420

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Solution

The third proportional to 155,451 and 411,420 is: 1,088,873.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,451 : 411,420 = 411,420 : x
  2. Step 2: Convert to fraction form
    155,451/411,420 = 411,420/x
  3. Step 3: Cross multiply
    155,451x = 411,420 × 411,420
  4. Step 4: Simplify right side
    155,451x = 169,266,416,400
  5. Step 5: Solve for x
    x = 169,266,416,400/155,451
  6. Step 6: Final answer
    x = 1,088,873.13

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Why These Related Problems?

These problems maintain the same ratio (2.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.