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Finding the Third Proportional to 102,087 and 216,297

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Solution

The third proportional to 102,087 and 216,297 is: 458,279.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,087 : 216,297 = 216,297 : x
  2. Step 2: Convert to fraction form
    102,087/216,297 = 216,297/x
  3. Step 3: Cross multiply
    102,087x = 216,297 × 216,297
  4. Step 4: Simplify right side
    102,087x = 46,784,392,209
  5. Step 5: Solve for x
    x = 46,784,392,209/102,087
  6. Step 6: Final answer
    x = 458,279.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.