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Finding the Third Proportional to 324,911 and 502,118

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Solution

The third proportional to 324,911 and 502,118 is: 775,973.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,911 : 502,118 = 502,118 : x
  2. Step 2: Convert to fraction form
    324,911/502,118 = 502,118/x
  3. Step 3: Cross multiply
    324,911x = 502,118 × 502,118
  4. Step 4: Simplify right side
    324,911x = 252,122,485,924
  5. Step 5: Solve for x
    x = 252,122,485,924/324,911
  6. Step 6: Final answer
    x = 775,973.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.