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Finding the Third Proportional to 147,186 and 317,700

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Solution

The third proportional to 147,186 and 317,700 is: 685,753.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,186 : 317,700 = 317,700 : x
  2. Step 2: Convert to fraction form
    147,186/317,700 = 317,700/x
  3. Step 3: Cross multiply
    147,186x = 317,700 × 317,700
  4. Step 4: Simplify right side
    147,186x = 100,933,290,000
  5. Step 5: Solve for x
    x = 100,933,290,000/147,186
  6. Step 6: Final answer
    x = 685,753.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.