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Finding the Third Proportional to 489,012 and 748,049

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Solution

The third proportional to 489,012 and 748,049 is: 1,144,301.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,012 : 748,049 = 748,049 : x
  2. Step 2: Convert to fraction form
    489,012/748,049 = 748,049/x
  3. Step 3: Cross multiply
    489,012x = 748,049 × 748,049
  4. Step 4: Simplify right side
    489,012x = 559,577,306,401
  5. Step 5: Solve for x
    x = 559,577,306,401/489,012
  6. Step 6: Final answer
    x = 1,144,301.79

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