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Finding the Third Proportional to 215,389.13 and 340,903.69

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Solution

The third proportional to 215,389.13 and 340,903.69 is: 539,559.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,389.13 : 340,903.69 = 340,903.69 : x
  2. Step 2: Convert to fraction form
    215,389.13/340,903.69 = 340,903.69/x
  3. Step 3: Cross multiply
    215,389.13x = 340,903.69 × 340,903.69
  4. Step 4: Simplify right side
    215,389.13x = 116,215,324,151.10
  5. Step 5: Solve for x
    x = 116,215,324,151.10/215,389.13
  6. Step 6: Final answer
    x = 539,559.85

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.