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Finding the Third Proportional to 100,878.75 and 218,457

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Solution

The third proportional to 100,878.75 and 218,457 is: 473,077.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,878.75 : 218,457 = 218,457 : x
  2. Step 2: Convert to fraction form
    100,878.75/218,457 = 218,457/x
  3. Step 3: Cross multiply
    100,878.75x = 218,457 × 218,457
  4. Step 4: Simplify right side
    100,878.75x = 47,723,460,849
  5. Step 5: Solve for x
    x = 47,723,460,849/100,878.75
  6. Step 6: Final answer
    x = 473,077.44

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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.