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Finding the Third Proportional to 202,189 and 432,780

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Solution

The third proportional to 202,189 and 432,780 is: 926,353.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,189 : 432,780 = 432,780 : x
  2. Step 2: Convert to fraction form
    202,189/432,780 = 432,780/x
  3. Step 3: Cross multiply
    202,189x = 432,780 × 432,780
  4. Step 4: Simplify right side
    202,189x = 187,298,528,400
  5. Step 5: Solve for x
    x = 187,298,528,400/202,189
  6. Step 6: Final answer
    x = 926,353.70

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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.