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Finding the Third Proportional to 324,978 and 502,219.50

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Solution

The third proportional to 324,978 and 502,219.50 is: 776,127.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,978 : 502,219.50 = 502,219.50 : x
  2. Step 2: Convert to fraction form
    324,978/502,219.50 = 502,219.50/x
  3. Step 3: Cross multiply
    324,978x = 502,219.50 × 502,219.50
  4. Step 4: Simplify right side
    324,978x = 252,224,426,180.25
  5. Step 5: Solve for x
    x = 252,224,426,180.25/324,978
  6. Step 6: Final answer
    x = 776,127.70

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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.