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Finding the Third Proportional to 102,519 and 121,311

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Solution

The third proportional to 102,519 and 121,311 is: 143,547.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,519 : 121,311 = 121,311 : x
  2. Step 2: Convert to fraction form
    102,519/121,311 = 121,311/x
  3. Step 3: Cross multiply
    102,519x = 121,311 × 121,311
  4. Step 4: Simplify right side
    102,519x = 14,716,358,721
  5. Step 5: Solve for x
    x = 14,716,358,721/102,519
  6. Step 6: Final answer
    x = 143,547.62

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.