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Finding the Third Proportional to 357,579.75 and 540,015

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Solution

The third proportional to 357,579.75 and 540,015 is: 815,527.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,579.75 : 540,015 = 540,015 : x
  2. Step 2: Convert to fraction form
    357,579.75/540,015 = 540,015/x
  3. Step 3: Cross multiply
    357,579.75x = 540,015 × 540,015
  4. Step 4: Simplify right side
    357,579.75x = 291,616,200,225
  5. Step 5: Solve for x
    x = 291,616,200,225/357,579.75
  6. Step 6: Final answer
    x = 815,527.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.