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Finding the Third Proportional to 87,820 and 130,206

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Solution

The third proportional to 87,820 and 130,206 is: 193,049.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,820 : 130,206 = 130,206 : x
  2. Step 2: Convert to fraction form
    87,820/130,206 = 130,206/x
  3. Step 3: Cross multiply
    87,820x = 130,206 × 130,206
  4. Step 4: Simplify right side
    87,820x = 16,953,602,436
  5. Step 5: Solve for x
    x = 16,953,602,436/87,820
  6. Step 6: Final answer
    x = 193,049.45

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.