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Finding the Third Proportional to 490,442 and 749,919

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Solution

The third proportional to 490,442 and 749,919 is: 1,146,676.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,442 : 749,919 = 749,919 : x
  2. Step 2: Convert to fraction form
    490,442/749,919 = 749,919/x
  3. Step 3: Cross multiply
    490,442x = 749,919 × 749,919
  4. Step 4: Simplify right side
    490,442x = 562,378,506,561
  5. Step 5: Solve for x
    x = 562,378,506,561/490,442
  6. Step 6: Final answer
    x = 1,146,676.89

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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.