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Finding the Third Proportional to 199,732.50 and 432,702

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Solution

The third proportional to 199,732.50 and 432,702 is: 937,408.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,732.50 : 432,702 = 432,702 : x
  2. Step 2: Convert to fraction form
    199,732.50/432,702 = 432,702/x
  3. Step 3: Cross multiply
    199,732.50x = 432,702 × 432,702
  4. Step 4: Simplify right side
    199,732.50x = 187,231,020,804
  5. Step 5: Solve for x
    x = 187,231,020,804/199,732.50
  6. Step 6: Final answer
    x = 937,408.89

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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.