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Finding the Third Proportional to 338,930 and 525,231.50

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Solution

The third proportional to 338,930 and 525,231.50 is: 813,938.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,930 : 525,231.50 = 525,231.50 : x
  2. Step 2: Convert to fraction form
    338,930/525,231.50 = 525,231.50/x
  3. Step 3: Cross multiply
    338,930x = 525,231.50 × 525,231.50
  4. Step 4: Simplify right side
    338,930x = 275,868,128,592.25
  5. Step 5: Solve for x
    x = 275,868,128,592.25/338,930
  6. Step 6: Final answer
    x = 813,938.36

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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.