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Finding the Third Proportional to 90,315 and 193,083.75

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Solution

The third proportional to 90,315 and 193,083.75 is: 412,792.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,315 : 193,083.75 = 193,083.75 : x
  2. Step 2: Convert to fraction form
    90,315/193,083.75 = 193,083.75/x
  3. Step 3: Cross multiply
    90,315x = 193,083.75 × 193,083.75
  4. Step 4: Simplify right side
    90,315x = 37,281,334,514.06
  5. Step 5: Solve for x
    x = 37,281,334,514.06/90,315
  6. Step 6: Final answer
    x = 412,792.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.