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Finding the Third Proportional to 490,134 and 749,620

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Solution

The third proportional to 490,134 and 749,620 is: 1,146,482.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,134 : 749,620 = 749,620 : x
  2. Step 2: Convert to fraction form
    490,134/749,620 = 749,620/x
  3. Step 3: Cross multiply
    490,134x = 749,620 × 749,620
  4. Step 4: Simplify right side
    490,134x = 561,930,144,400
  5. Step 5: Solve for x
    x = 561,930,144,400/490,134
  6. Step 6: Final answer
    x = 1,146,482.69

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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.