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Finding the Third Proportional to 145,802 and 313,747

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Solution

The third proportional to 145,802 and 313,747 is: 675,142.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,802 : 313,747 = 313,747 : x
  2. Step 2: Convert to fraction form
    145,802/313,747 = 313,747/x
  3. Step 3: Cross multiply
    145,802x = 313,747 × 313,747
  4. Step 4: Simplify right side
    145,802x = 98,437,180,009
  5. Step 5: Solve for x
    x = 98,437,180,009/145,802
  6. Step 6: Final answer
    x = 675,142.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.