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Finding the Third Proportional to 100,144 and 217,776

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Solution

The third proportional to 100,144 and 217,776 is: 473,581.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,144 : 217,776 = 217,776 : x
  2. Step 2: Convert to fraction form
    100,144/217,776 = 217,776/x
  3. Step 3: Cross multiply
    100,144x = 217,776 × 217,776
  4. Step 4: Simplify right side
    100,144x = 47,426,386,176
  5. Step 5: Solve for x
    x = 47,426,386,176/100,144
  6. Step 6: Final answer
    x = 473,581.90

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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.