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Finding the Third Proportional to 147,336 and 321,888

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Solution

The third proportional to 147,336 and 321,888 is: 703,235.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,336 : 321,888 = 321,888 : x
  2. Step 2: Convert to fraction form
    147,336/321,888 = 321,888/x
  3. Step 3: Cross multiply
    147,336x = 321,888 × 321,888
  4. Step 4: Simplify right side
    147,336x = 103,611,884,544
  5. Step 5: Solve for x
    x = 103,611,884,544/147,336
  6. Step 6: Final answer
    x = 703,235.36

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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.