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Finding the Third Proportional to 84,023 and 130,098

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Solution

The third proportional to 84,023 and 130,098 is: 201,438.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,023 : 130,098 = 130,098 : x
  2. Step 2: Convert to fraction form
    84,023/130,098 = 130,098/x
  3. Step 3: Cross multiply
    84,023x = 130,098 × 130,098
  4. Step 4: Simplify right side
    84,023x = 16,925,489,604
  5. Step 5: Solve for x
    x = 16,925,489,604/84,023
  6. Step 6: Final answer
    x = 201,438.77

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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.