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Finding the Third Proportional to 219,189 and 478,959

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Solution

The third proportional to 219,189 and 478,959 is: 1,046,593.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,189 : 478,959 = 478,959 : x
  2. Step 2: Convert to fraction form
    219,189/478,959 = 478,959/x
  3. Step 3: Cross multiply
    219,189x = 478,959 × 478,959
  4. Step 4: Simplify right side
    219,189x = 229,401,723,681
  5. Step 5: Solve for x
    x = 229,401,723,681/219,189
  6. Step 6: Final answer
    x = 1,046,593.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.