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Finding the Third Proportional to 51,160 and 109,426

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Solution

The third proportional to 51,160 and 109,426 is: 234,051.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,160 : 109,426 = 109,426 : x
  2. Step 2: Convert to fraction form
    51,160/109,426 = 109,426/x
  3. Step 3: Cross multiply
    51,160x = 109,426 × 109,426
  4. Step 4: Simplify right side
    51,160x = 11,974,049,476
  5. Step 5: Solve for x
    x = 11,974,049,476/51,160
  6. Step 6: Final answer
    x = 234,051.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.