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Finding the Third Proportional to 287,340 and 433,197

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Solution

The third proportional to 287,340 and 433,197 is: 653,092.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,340 : 433,197 = 433,197 : x
  2. Step 2: Convert to fraction form
    287,340/433,197 = 433,197/x
  3. Step 3: Cross multiply
    287,340x = 433,197 × 433,197
  4. Step 4: Simplify right side
    287,340x = 187,659,640,809
  5. Step 5: Solve for x
    x = 187,659,640,809/287,340
  6. Step 6: Final answer
    x = 653,092.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.