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Finding the Third Proportional to 81,912 and 130,248

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Solution

The third proportional to 81,912 and 130,248 is: 207,106.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,912 : 130,248 = 130,248 : x
  2. Step 2: Convert to fraction form
    81,912/130,248 = 130,248/x
  3. Step 3: Cross multiply
    81,912x = 130,248 × 130,248
  4. Step 4: Simplify right side
    81,912x = 16,964,541,504
  5. Step 5: Solve for x
    x = 16,964,541,504/81,912
  6. Step 6: Final answer
    x = 207,106.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.