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Finding the Third Proportional to 158,986 and 349,316

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Solution

The third proportional to 158,986 and 349,316 is: 767,499.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,986 : 349,316 = 349,316 : x
  2. Step 2: Convert to fraction form
    158,986/349,316 = 349,316/x
  3. Step 3: Cross multiply
    158,986x = 349,316 × 349,316
  4. Step 4: Simplify right side
    158,986x = 122,021,667,856
  5. Step 5: Solve for x
    x = 122,021,667,856/158,986
  6. Step 6: Final answer
    x = 767,499.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.