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Finding the Third Proportional to 212,284 and 288,454

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Solution

The third proportional to 212,284 and 288,454 is: 391,954.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,284 : 288,454 = 288,454 : x
  2. Step 2: Convert to fraction form
    212,284/288,454 = 288,454/x
  3. Step 3: Cross multiply
    212,284x = 288,454 × 288,454
  4. Step 4: Simplify right side
    212,284x = 83,205,710,116
  5. Step 5: Solve for x
    x = 83,205,710,116/212,284
  6. Step 6: Final answer
    x = 391,954.69

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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.