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Finding the Third Proportional to 332,388 and 721,152

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Solution

The third proportional to 332,388 and 721,152 is: 1,564,617.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,388 : 721,152 = 721,152 : x
  2. Step 2: Convert to fraction form
    332,388/721,152 = 721,152/x
  3. Step 3: Cross multiply
    332,388x = 721,152 × 721,152
  4. Step 4: Simplify right side
    332,388x = 520,060,207,104
  5. Step 5: Solve for x
    x = 520,060,207,104/332,388
  6. Step 6: Final answer
    x = 1,564,617.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.