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Finding the Third Proportional to 71,046 and 110,386

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Solution

The third proportional to 71,046 and 110,386 is: 171,509.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,046 : 110,386 = 110,386 : x
  2. Step 2: Convert to fraction form
    71,046/110,386 = 110,386/x
  3. Step 3: Cross multiply
    71,046x = 110,386 × 110,386
  4. Step 4: Simplify right side
    71,046x = 12,185,068,996
  5. Step 5: Solve for x
    x = 12,185,068,996/71,046
  6. Step 6: Final answer
    x = 171,509.57

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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.