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Finding the Third Proportional to 478,620 and 741,009

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Solution

The third proportional to 478,620 and 741,009 is: 1,147,244.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,620 : 741,009 = 741,009 : x
  2. Step 2: Convert to fraction form
    478,620/741,009 = 741,009/x
  3. Step 3: Cross multiply
    478,620x = 741,009 × 741,009
  4. Step 4: Simplify right side
    478,620x = 549,094,338,081
  5. Step 5: Solve for x
    x = 549,094,338,081/478,620
  6. Step 6: Final answer
    x = 1,147,244.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.