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Finding the Third Proportional to 100,320 and 217,928

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Solution

The third proportional to 100,320 and 217,928 is: 473,411.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,320 : 217,928 = 217,928 : x
  2. Step 2: Convert to fraction form
    100,320/217,928 = 217,928/x
  3. Step 3: Cross multiply
    100,320x = 217,928 × 217,928
  4. Step 4: Simplify right side
    100,320x = 47,492,613,184
  5. Step 5: Solve for x
    x = 47,492,613,184/100,320
  6. Step 6: Final answer
    x = 473,411.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.