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Finding the Third Proportional to 202,253 and 432,912

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Solution

The third proportional to 202,253 and 432,912 is: 926,625.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,253 : 432,912 = 432,912 : x
  2. Step 2: Convert to fraction form
    202,253/432,912 = 432,912/x
  3. Step 3: Cross multiply
    202,253x = 432,912 × 432,912
  4. Step 4: Simplify right side
    202,253x = 187,412,799,744
  5. Step 5: Solve for x
    x = 187,412,799,744/202,253
  6. Step 6: Final answer
    x = 926,625.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.