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Finding the Third Proportional to 150,072 and 317,028

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Solution

The third proportional to 150,072 and 317,028 is: 669,723.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,072 : 317,028 = 317,028 : x
  2. Step 2: Convert to fraction form
    150,072/317,028 = 317,028/x
  3. Step 3: Cross multiply
    150,072x = 317,028 × 317,028
  4. Step 4: Simplify right side
    150,072x = 100,506,752,784
  5. Step 5: Solve for x
    x = 100,506,752,784/150,072
  6. Step 6: Final answer
    x = 669,723.55

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.