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Finding the Third Proportional to 228,717.19 and 355,531.78

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Solution

The third proportional to 228,717.19 and 355,531.78 is: 552,660.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,717.19 : 355,531.78 = 355,531.78 : x
  2. Step 2: Convert to fraction form
    228,717.19/355,531.78 = 355,531.78/x
  3. Step 3: Cross multiply
    228,717.19x = 355,531.78 × 355,531.78
  4. Step 4: Simplify right side
    228,717.19x = 126,402,847,478.80
  5. Step 5: Solve for x
    x = 126,402,847,478.80/228,717.19
  6. Step 6: Final answer
    x = 552,660.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.