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Finding the Third Proportional to 335,729 and 721,152

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Solution

The third proportional to 335,729 and 721,152 is: 1,549,047.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,729 : 721,152 = 721,152 : x
  2. Step 2: Convert to fraction form
    335,729/721,152 = 721,152/x
  3. Step 3: Cross multiply
    335,729x = 721,152 × 721,152
  4. Step 4: Simplify right side
    335,729x = 520,060,207,104
  5. Step 5: Solve for x
    x = 520,060,207,104/335,729
  6. Step 6: Final answer
    x = 1,549,047.62

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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.