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Finding the Third Proportional to 489,362 and 748,671

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Solution

The third proportional to 489,362 and 748,671 is: 1,145,385.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,362 : 748,671 = 748,671 : x
  2. Step 2: Convert to fraction form
    489,362/748,671 = 748,671/x
  3. Step 3: Cross multiply
    489,362x = 748,671 × 748,671
  4. Step 4: Simplify right side
    489,362x = 560,508,266,241
  5. Step 5: Solve for x
    x = 560,508,266,241/489,362
  6. Step 6: Final answer
    x = 1,145,385.76

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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.