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Finding the Third Proportional to 490,113 and 749,588

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Solution

The third proportional to 490,113 and 749,588 is: 1,146,433.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,113 : 749,588 = 749,588 : x
  2. Step 2: Convert to fraction form
    490,113/749,588 = 749,588/x
  3. Step 3: Cross multiply
    490,113x = 749,588 × 749,588
  4. Step 4: Simplify right side
    490,113x = 561,882,169,744
  5. Step 5: Solve for x
    x = 561,882,169,744/490,113
  6. Step 6: Final answer
    x = 1,146,433.92

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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.