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Finding the Third Proportional to 489,236 and 748,443

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Solution

The third proportional to 489,236 and 748,443 is: 1,144,983.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,236 : 748,443 = 748,443 : x
  2. Step 2: Convert to fraction form
    489,236/748,443 = 748,443/x
  3. Step 3: Cross multiply
    489,236x = 748,443 × 748,443
  4. Step 4: Simplify right side
    489,236x = 560,166,924,249
  5. Step 5: Solve for x
    x = 560,166,924,249/489,236
  6. Step 6: Final answer
    x = 1,144,983.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.