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Finding the Third Proportional to 147,348 and 321,686

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Solution

The third proportional to 147,348 and 321,686 is: 702,295.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,348 : 321,686 = 321,686 : x
  2. Step 2: Convert to fraction form
    147,348/321,686 = 321,686/x
  3. Step 3: Cross multiply
    147,348x = 321,686 × 321,686
  4. Step 4: Simplify right side
    147,348x = 103,481,882,596
  5. Step 5: Solve for x
    x = 103,481,882,596/147,348
  6. Step 6: Final answer
    x = 702,295.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.