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Finding the Third Proportional to 297,926 and 638,492

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Solution

The third proportional to 297,926 and 638,492 is: 1,368,366.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,926 : 638,492 = 638,492 : x
  2. Step 2: Convert to fraction form
    297,926/638,492 = 638,492/x
  3. Step 3: Cross multiply
    297,926x = 638,492 × 638,492
  4. Step 4: Simplify right side
    297,926x = 407,672,034,064
  5. Step 5: Solve for x
    x = 407,672,034,064/297,926
  6. Step 6: Final answer
    x = 1,368,366.76

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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.