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Finding the Third Proportional to 218,760.75 and 357,215.06

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Solution

The third proportional to 218,760.75 and 357,215.06 is: 583,297.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,760.75 : 357,215.06 = 357,215.06 : x
  2. Step 2: Convert to fraction form
    218,760.75/357,215.06 = 357,215.06/x
  3. Step 3: Cross multiply
    218,760.75x = 357,215.06 × 357,215.06
  4. Step 4: Simplify right side
    218,760.75x = 127,602,600,876.88
  5. Step 5: Solve for x
    x = 127,602,600,876.88/218,760.75
  6. Step 6: Final answer
    x = 583,297.51

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.