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Finding the Third Proportional to 198,678.75 and 432,826.50

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Solution

The third proportional to 198,678.75 and 432,826.50 is: 942,923.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,678.75 : 432,826.50 = 432,826.50 : x
  2. Step 2: Convert to fraction form
    198,678.75/432,826.50 = 432,826.50/x
  3. Step 3: Cross multiply
    198,678.75x = 432,826.50 × 432,826.50
  4. Step 4: Simplify right side
    198,678.75x = 187,338,779,102.25
  5. Step 5: Solve for x
    x = 187,338,779,102.25/198,678.75
  6. Step 6: Final answer
    x = 942,923.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.