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Finding the Third Proportional to 102,789 and 155,277

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Solution

The third proportional to 102,789 and 155,277 is: 234,567.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,789 : 155,277 = 155,277 : x
  2. Step 2: Convert to fraction form
    102,789/155,277 = 155,277/x
  3. Step 3: Cross multiply
    102,789x = 155,277 × 155,277
  4. Step 4: Simplify right side
    102,789x = 24,110,946,729
  5. Step 5: Solve for x
    x = 24,110,946,729/102,789
  6. Step 6: Final answer
    x = 234,567.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.