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Finding the Third Proportional to 194,382 and 317,408

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Solution

The third proportional to 194,382 and 317,408 is: 518,298.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,382 : 317,408 = 317,408 : x
  2. Step 2: Convert to fraction form
    194,382/317,408 = 317,408/x
  3. Step 3: Cross multiply
    194,382x = 317,408 × 317,408
  4. Step 4: Simplify right side
    194,382x = 100,747,838,464
  5. Step 5: Solve for x
    x = 100,747,838,464/194,382
  6. Step 6: Final answer
    x = 518,298.19

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.