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Finding the Third Proportional to 158,814 and 245,685

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Solution

The third proportional to 158,814 and 245,685 is: 380,074.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,814 : 245,685 = 245,685 : x
  2. Step 2: Convert to fraction form
    158,814/245,685 = 245,685/x
  3. Step 3: Cross multiply
    158,814x = 245,685 × 245,685
  4. Step 4: Simplify right side
    158,814x = 60,361,119,225
  5. Step 5: Solve for x
    x = 60,361,119,225/158,814
  6. Step 6: Final answer
    x = 380,074.30

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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.