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Finding the Third Proportional to 70,178 and 91,046

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Solution

The third proportional to 70,178 and 91,046 is: 118,119.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,178 : 91,046 = 91,046 : x
  2. Step 2: Convert to fraction form
    70,178/91,046 = 91,046/x
  3. Step 3: Cross multiply
    70,178x = 91,046 × 91,046
  4. Step 4: Simplify right side
    70,178x = 8,289,374,116
  5. Step 5: Solve for x
    x = 8,289,374,116/70,178
  6. Step 6: Final answer
    x = 118,119.27

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.