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Finding the Third Proportional to 489,081 and 1,031,217

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Solution

The third proportional to 489,081 and 1,031,217 is: 2,174,299.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,081 : 1,031,217 = 1,031,217 : x
  2. Step 2: Convert to fraction form
    489,081/1,031,217 = 1,031,217/x
  3. Step 3: Cross multiply
    489,081x = 1,031,217 × 1,031,217
  4. Step 4: Simplify right side
    489,081x = 1,063,408,501,089
  5. Step 5: Solve for x
    x = 1,063,408,501,089/489,081
  6. Step 6: Final answer
    x = 2,174,299.35

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.