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Finding the Third Proportional to 324,978.50 and 502,220.25

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Solution

The third proportional to 324,978.50 and 502,220.25 is: 776,128.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,978.50 : 502,220.25 = 502,220.25 : x
  2. Step 2: Convert to fraction form
    324,978.50/502,220.25 = 502,220.25/x
  3. Step 3: Cross multiply
    324,978.50x = 502,220.25 × 502,220.25
  4. Step 4: Simplify right side
    324,978.50x = 252,225,179,510.06
  5. Step 5: Solve for x
    x = 252,225,179,510.06/324,978.50
  6. Step 6: Final answer
    x = 776,128.82

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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.