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Finding the Third Proportional to 218,707.31 and 357,130.69

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Solution

The third proportional to 218,707.31 and 357,130.69 is: 583,164.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,707.31 : 357,130.69 = 357,130.69 : x
  2. Step 2: Convert to fraction form
    218,707.31/357,130.69 = 357,130.69/x
  3. Step 3: Cross multiply
    218,707.31x = 357,130.69 × 357,130.69
  4. Step 4: Simplify right side
    218,707.31x = 127,542,327,954.22
  5. Step 5: Solve for x
    x = 127,542,327,954.22/218,707.31
  6. Step 6: Final answer
    x = 583,164.44

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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.