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Finding the Third Proportional to 15,217 and 35,354

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Solution

The third proportional to 15,217 and 35,354 is: 82,138.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,217 : 35,354 = 35,354 : x
  2. Step 2: Convert to fraction form
    15,217/35,354 = 35,354/x
  3. Step 3: Cross multiply
    15,217x = 35,354 × 35,354
  4. Step 4: Simplify right side
    15,217x = 1,249,905,316
  5. Step 5: Solve for x
    x = 1,249,905,316/15,217
  6. Step 6: Final answer
    x = 82,138.75

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.