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Finding the Third Proportional to 489,015 and 748,057

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Solution

The third proportional to 489,015 and 748,057 is: 1,144,319.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,015 : 748,057 = 748,057 : x
  2. Step 2: Convert to fraction form
    489,015/748,057 = 748,057/x
  3. Step 3: Cross multiply
    489,015x = 748,057 × 748,057
  4. Step 4: Simplify right side
    489,015x = 559,589,275,249
  5. Step 5: Solve for x
    x = 559,589,275,249/489,015
  6. Step 6: Final answer
    x = 1,144,319.24

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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.