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Finding the Third Proportional to 490,130 and 749,613

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Solution

The third proportional to 490,130 and 749,613 is: 1,146,470.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,130 : 749,613 = 749,613 : x
  2. Step 2: Convert to fraction form
    490,130/749,613 = 749,613/x
  3. Step 3: Cross multiply
    490,130x = 749,613 × 749,613
  4. Step 4: Simplify right side
    490,130x = 561,919,649,769
  5. Step 5: Solve for x
    x = 561,919,649,769/490,130
  6. Step 6: Final answer
    x = 1,146,470.63

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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.