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Finding the Third Proportional to 490,127.63 and 749,609.44

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Solution

The third proportional to 490,127.63 and 749,609.44 is: 1,146,465.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,127.63 : 749,609.44 = 749,609.44 : x
  2. Step 2: Convert to fraction form
    490,127.63/749,609.44 = 749,609.44/x
  3. Step 3: Cross multiply
    490,127.63x = 749,609.44 × 749,609.44
  4. Step 4: Simplify right side
    490,127.63x = 561,914,308,789.07
  5. Step 5: Solve for x
    x = 561,914,308,789.07/490,127.63
  6. Step 6: Final answer
    x = 1,146,465.29

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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.