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Finding the Third Proportional to 357,118.88 and 485,012.81

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Solution

The third proportional to 357,118.88 and 485,012.81 is: 658,709.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,118.88 : 485,012.81 = 485,012.81 : x
  2. Step 2: Convert to fraction form
    357,118.88/485,012.81 = 485,012.81/x
  3. Step 3: Cross multiply
    357,118.88x = 485,012.81 × 485,012.81
  4. Step 4: Simplify right side
    357,118.88x = 235,237,428,289.16
  5. Step 5: Solve for x
    x = 235,237,428,289.16/357,118.88
  6. Step 6: Final answer
    x = 658,709.03

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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.