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Finding the Third Proportional to 198,868.50 and 432,317.25

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Solution

The third proportional to 198,868.50 and 432,317.25 is: 939,807.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,868.50 : 432,317.25 = 432,317.25 : x
  2. Step 2: Convert to fraction form
    198,868.50/432,317.25 = 432,317.25/x
  3. Step 3: Cross multiply
    198,868.50x = 432,317.25 × 432,317.25
  4. Step 4: Simplify right side
    198,868.50x = 186,898,204,647.56
  5. Step 5: Solve for x
    x = 186,898,204,647.56/198,868.50
  6. Step 6: Final answer
    x = 939,807.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.