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Finding the Third Proportional to 81,800 and 130,476

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Solution

The third proportional to 81,800 and 130,476 is: 208,117.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,800 : 130,476 = 130,476 : x
  2. Step 2: Convert to fraction form
    81,800/130,476 = 130,476/x
  3. Step 3: Cross multiply
    81,800x = 130,476 × 130,476
  4. Step 4: Simplify right side
    81,800x = 17,023,986,576
  5. Step 5: Solve for x
    x = 17,023,986,576/81,800
  6. Step 6: Final answer
    x = 208,117.20

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.