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Finding the Third Proportional to 136,750 and 287,320

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Solution

The third proportional to 136,750 and 287,320 is: 603,676.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,750 : 287,320 = 287,320 : x
  2. Step 2: Convert to fraction form
    136,750/287,320 = 287,320/x
  3. Step 3: Cross multiply
    136,750x = 287,320 × 287,320
  4. Step 4: Simplify right side
    136,750x = 82,552,782,400
  5. Step 5: Solve for x
    x = 82,552,782,400/136,750
  6. Step 6: Final answer
    x = 603,676.65

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.