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Finding the Third Proportional to 324,090 and 490,612

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Solution

The third proportional to 324,090 and 490,612 is: 742,695.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,090 : 490,612 = 490,612 : x
  2. Step 2: Convert to fraction form
    324,090/490,612 = 490,612/x
  3. Step 3: Cross multiply
    324,090x = 490,612 × 490,612
  4. Step 4: Simplify right side
    324,090x = 240,700,134,544
  5. Step 5: Solve for x
    x = 240,700,134,544/324,090
  6. Step 6: Final answer
    x = 742,695.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.