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Finding the Third Proportional to 489,699 and 748,620

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Solution

The third proportional to 489,699 and 748,620 is: 1,144,441.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,699 : 748,620 = 748,620 : x
  2. Step 2: Convert to fraction form
    489,699/748,620 = 748,620/x
  3. Step 3: Cross multiply
    489,699x = 748,620 × 748,620
  4. Step 4: Simplify right side
    489,699x = 560,431,904,400
  5. Step 5: Solve for x
    x = 560,431,904,400/489,699
  6. Step 6: Final answer
    x = 1,144,441.59

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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.