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Finding the Third Proportional to 212,544 and 287,388

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Solution

The third proportional to 212,544 and 287,388 is: 388,587.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,544 : 287,388 = 287,388 : x
  2. Step 2: Convert to fraction form
    212,544/287,388 = 287,388/x
  3. Step 3: Cross multiply
    212,544x = 287,388 × 287,388
  4. Step 4: Simplify right side
    212,544x = 82,591,862,544
  5. Step 5: Solve for x
    x = 82,591,862,544/212,544
  6. Step 6: Final answer
    x = 388,587.13

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.