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Finding the Third Proportional to 100,312 and 217,908

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Solution

The third proportional to 100,312 and 217,908 is: 473,362.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,312 : 217,908 = 217,908 : x
  2. Step 2: Convert to fraction form
    100,312/217,908 = 217,908/x
  3. Step 3: Cross multiply
    100,312x = 217,908 × 217,908
  4. Step 4: Simplify right side
    100,312x = 47,483,896,464
  5. Step 5: Solve for x
    x = 47,483,896,464/100,312
  6. Step 6: Final answer
    x = 473,362.07

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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.