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Finding the Third Proportional to 305,608.50 and 415,041.75

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Solution

The third proportional to 305,608.50 and 415,041.75 is: 563,661.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,608.50 : 415,041.75 = 415,041.75 : x
  2. Step 2: Convert to fraction form
    305,608.50/415,041.75 = 415,041.75/x
  3. Step 3: Cross multiply
    305,608.50x = 415,041.75 × 415,041.75
  4. Step 4: Simplify right side
    305,608.50x = 172,259,654,243.06
  5. Step 5: Solve for x
    x = 172,259,654,243.06/305,608.50
  6. Step 6: Final answer
    x = 563,661.20

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.