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Finding the Third Proportional to 110,370.88 and 233,889.40

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Solution

The third proportional to 110,370.88 and 233,889.40 is: 495,640.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,370.88 : 233,889.40 = 233,889.40 : x
  2. Step 2: Convert to fraction form
    110,370.88/233,889.40 = 233,889.40/x
  3. Step 3: Cross multiply
    110,370.88x = 233,889.40 × 233,889.40
  4. Step 4: Simplify right side
    110,370.88x = 54,704,250,701.46
  5. Step 5: Solve for x
    x = 54,704,250,701.46/110,370.88
  6. Step 6: Final answer
    x = 495,640.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.