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Finding the Third Proportional to 200,121.25 and 433,457.50

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Solution

The third proportional to 200,121.25 and 433,457.50 is: 938,857.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,121.25 : 433,457.50 = 433,457.50 : x
  2. Step 2: Convert to fraction form
    200,121.25/433,457.50 = 433,457.50/x
  3. Step 3: Cross multiply
    200,121.25x = 433,457.50 × 433,457.50
  4. Step 4: Simplify right side
    200,121.25x = 187,885,404,306.25
  5. Step 5: Solve for x
    x = 187,885,404,306.25/200,121.25
  6. Step 6: Final answer
    x = 938,857.84

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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.