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Finding the Third Proportional to 200,947.50 and 433,443

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Solution

The third proportional to 200,947.50 and 433,443 is: 934,934.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,947.50 : 433,443 = 433,443 : x
  2. Step 2: Convert to fraction form
    200,947.50/433,443 = 433,443/x
  3. Step 3: Cross multiply
    200,947.50x = 433,443 × 433,443
  4. Step 4: Simplify right side
    200,947.50x = 187,872,834,249
  5. Step 5: Solve for x
    x = 187,872,834,249/200,947.50
  6. Step 6: Final answer
    x = 934,934.92

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.