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Finding the Third Proportional to 144,612 and 317,574

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Solution

The third proportional to 144,612 and 317,574 is: 697,405.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,612 : 317,574 = 317,574 : x
  2. Step 2: Convert to fraction form
    144,612/317,574 = 317,574/x
  3. Step 3: Cross multiply
    144,612x = 317,574 × 317,574
  4. Step 4: Simplify right side
    144,612x = 100,853,245,476
  5. Step 5: Solve for x
    x = 100,853,245,476/144,612
  6. Step 6: Final answer
    x = 697,405.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.