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Finding the Third Proportional to 335,727.75 and 520,610.63

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Solution

The third proportional to 335,727.75 and 520,610.63 is: 807,307.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,727.75 : 520,610.63 = 520,610.63 : x
  2. Step 2: Convert to fraction form
    335,727.75/520,610.63 = 520,610.63/x
  3. Step 3: Cross multiply
    335,727.75x = 520,610.63 × 520,610.63
  4. Step 4: Simplify right side
    335,727.75x = 271,035,422,862.89
  5. Step 5: Solve for x
    x = 271,035,422,862.89/335,727.75
  6. Step 6: Final answer
    x = 807,307.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.