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Finding the Third Proportional to 339,550 and 516,702

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Solution

The third proportional to 339,550 and 516,702 is: 786,278.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,550 : 516,702 = 516,702 : x
  2. Step 2: Convert to fraction form
    339,550/516,702 = 516,702/x
  3. Step 3: Cross multiply
    339,550x = 516,702 × 516,702
  4. Step 4: Simplify right side
    339,550x = 266,980,956,804
  5. Step 5: Solve for x
    x = 266,980,956,804/339,550
  6. Step 6: Final answer
    x = 786,278.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.