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Finding the Third Proportional to 297,894 and 638,432

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Solution

The third proportional to 297,894 and 638,432 is: 1,368,256.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,894 : 638,432 = 638,432 : x
  2. Step 2: Convert to fraction form
    297,894/638,432 = 638,432/x
  3. Step 3: Cross multiply
    297,894x = 638,432 × 638,432
  4. Step 4: Simplify right side
    297,894x = 407,595,418,624
  5. Step 5: Solve for x
    x = 407,595,418,624/297,894
  6. Step 6: Final answer
    x = 1,368,256.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.