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Finding the Third Proportional to 315,170 and 656,932

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Solution

The third proportional to 315,170 and 656,932 is: 1,369,291.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,170 : 656,932 = 656,932 : x
  2. Step 2: Convert to fraction form
    315,170/656,932 = 656,932/x
  3. Step 3: Cross multiply
    315,170x = 656,932 × 656,932
  4. Step 4: Simplify right side
    315,170x = 431,559,652,624
  5. Step 5: Solve for x
    x = 431,559,652,624/315,170
  6. Step 6: Final answer
    x = 1,369,291.66

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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.