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Finding the Third Proportional to 71,520 and 106,434

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Solution

The third proportional to 71,520 and 106,434 is: 158,392.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,520 : 106,434 = 106,434 : x
  2. Step 2: Convert to fraction form
    71,520/106,434 = 106,434/x
  3. Step 3: Cross multiply
    71,520x = 106,434 × 106,434
  4. Step 4: Simplify right side
    71,520x = 11,328,196,356
  5. Step 5: Solve for x
    x = 11,328,196,356/71,520
  6. Step 6: Final answer
    x = 158,392.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.