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Finding the Third Proportional to 335,756 and 721,207

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Solution

The third proportional to 335,756 and 721,207 is: 1,549,159.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,756 : 721,207 = 721,207 : x
  2. Step 2: Convert to fraction form
    335,756/721,207 = 721,207/x
  3. Step 3: Cross multiply
    335,756x = 721,207 × 721,207
  4. Step 4: Simplify right side
    335,756x = 520,139,536,849
  5. Step 5: Solve for x
    x = 520,139,536,849/335,756
  6. Step 6: Final answer
    x = 1,549,159.32

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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.