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Finding the Third Proportional to 373,614 and 513,765

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Solution

The third proportional to 373,614 and 513,765 is: 706,489.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,614 : 513,765 = 513,765 : x
  2. Step 2: Convert to fraction form
    373,614/513,765 = 513,765/x
  3. Step 3: Cross multiply
    373,614x = 513,765 × 513,765
  4. Step 4: Simplify right side
    373,614x = 263,954,475,225
  5. Step 5: Solve for x
    x = 263,954,475,225/373,614
  6. Step 6: Final answer
    x = 706,489.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.