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Finding the Third Proportional to 289,926 and 408,280

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Solution

The third proportional to 289,926 and 408,280 is: 574,948.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,926 : 408,280 = 408,280 : x
  2. Step 2: Convert to fraction form
    289,926/408,280 = 408,280/x
  3. Step 3: Cross multiply
    289,926x = 408,280 × 408,280
  4. Step 4: Simplify right side
    289,926x = 166,692,558,400
  5. Step 5: Solve for x
    x = 166,692,558,400/289,926
  6. Step 6: Final answer
    x = 574,948.64

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.