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Finding the Third Proportional to 102,217 and 143,237

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Solution

The third proportional to 102,217 and 143,237 is: 200,718.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,217 : 143,237 = 143,237 : x
  2. Step 2: Convert to fraction form
    102,217/143,237 = 143,237/x
  3. Step 3: Cross multiply
    102,217x = 143,237 × 143,237
  4. Step 4: Simplify right side
    102,217x = 20,516,838,169
  5. Step 5: Solve for x
    x = 20,516,838,169/102,217
  6. Step 6: Final answer
    x = 200,718.45

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.