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Finding the Third Proportional to 212,688 and 297,396

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Solution

The third proportional to 212,688 and 297,396 is: 415,840.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,688 : 297,396 = 297,396 : x
  2. Step 2: Convert to fraction form
    212,688/297,396 = 297,396/x
  3. Step 3: Cross multiply
    212,688x = 297,396 × 297,396
  4. Step 4: Simplify right side
    212,688x = 88,444,380,816
  5. Step 5: Solve for x
    x = 88,444,380,816/212,688
  6. Step 6: Final answer
    x = 415,840.95

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.