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Finding the Third Proportional to 90,927.75 and 198,783.75

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Solution

The third proportional to 90,927.75 and 198,783.75 is: 434,575.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,927.75 : 198,783.75 = 198,783.75 : x
  2. Step 2: Convert to fraction form
    90,927.75/198,783.75 = 198,783.75/x
  3. Step 3: Cross multiply
    90,927.75x = 198,783.75 × 198,783.75
  4. Step 4: Simplify right side
    90,927.75x = 39,514,979,264.06
  5. Step 5: Solve for x
    x = 39,514,979,264.06/90,927.75
  6. Step 6: Final answer
    x = 434,575.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.