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Finding the Third Proportional to 160,572 and 333,888

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Solution

The third proportional to 160,572 and 333,888 is: 694,275.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,572 : 333,888 = 333,888 : x
  2. Step 2: Convert to fraction form
    160,572/333,888 = 333,888/x
  3. Step 3: Cross multiply
    160,572x = 333,888 × 333,888
  4. Step 4: Simplify right side
    160,572x = 111,481,196,544
  5. Step 5: Solve for x
    x = 111,481,196,544/160,572
  6. Step 6: Final answer
    x = 694,275.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.