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Finding the Third Proportional to 297,432 and 645,408

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Solution

The third proportional to 297,432 and 645,408 is: 1,400,493.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,432 : 645,408 = 645,408 : x
  2. Step 2: Convert to fraction form
    297,432/645,408 = 645,408/x
  3. Step 3: Cross multiply
    297,432x = 645,408 × 645,408
  4. Step 4: Simplify right side
    297,432x = 416,551,486,464
  5. Step 5: Solve for x
    x = 416,551,486,464/297,432
  6. Step 6: Final answer
    x = 1,400,493.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.