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Finding the Third Proportional to 100,308 and 155,818.13

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Solution

The third proportional to 100,308 and 155,818.13 is: 242,047.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,308 : 155,818.13 = 155,818.13 : x
  2. Step 2: Convert to fraction form
    100,308/155,818.13 = 155,818.13/x
  3. Step 3: Cross multiply
    100,308x = 155,818.13 × 155,818.13
  4. Step 4: Simplify right side
    100,308x = 24,279,288,078.52
  5. Step 5: Solve for x
    x = 24,279,288,078.52/100,308
  6. Step 6: Final answer
    x = 242,047.37

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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.