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Finding the Third Proportional to 212,190 and 288,348

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Solution

The third proportional to 212,190 and 288,348 is: 391,840.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,190 : 288,348 = 288,348 : x
  2. Step 2: Convert to fraction form
    212,190/288,348 = 288,348/x
  3. Step 3: Cross multiply
    212,190x = 288,348 × 288,348
  4. Step 4: Simplify right side
    212,190x = 83,144,569,104
  5. Step 5: Solve for x
    x = 83,144,569,104/212,190
  6. Step 6: Final answer
    x = 391,840.19

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.