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Finding the Third Proportional to 90,699.75 and 211,798.13

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Solution

The third proportional to 90,699.75 and 211,798.13 is: 494,581.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,699.75 : 211,798.13 = 211,798.13 : x
  2. Step 2: Convert to fraction form
    90,699.75/211,798.13 = 211,798.13/x
  3. Step 3: Cross multiply
    90,699.75x = 211,798.13 × 211,798.13
  4. Step 4: Simplify right side
    90,699.75x = 44,858,445,753.52
  5. Step 5: Solve for x
    x = 44,858,445,753.52/90,699.75
  6. Step 6: Final answer
    x = 494,581.80

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.