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Finding the Third Proportional to 70,014.50 and 111,319

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Solution

The third proportional to 70,014.50 and 111,319 is: 176,990.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,014.50 : 111,319 = 111,319 : x
  2. Step 2: Convert to fraction form
    70,014.50/111,319 = 111,319/x
  3. Step 3: Cross multiply
    70,014.50x = 111,319 × 111,319
  4. Step 4: Simplify right side
    70,014.50x = 12,391,919,761
  5. Step 5: Solve for x
    x = 12,391,919,761/70,014.50
  6. Step 6: Final answer
    x = 176,990.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.