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Finding the Third Proportional to 306,871 and 412,791

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Solution

The third proportional to 306,871 and 412,791 is: 555,270.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,871 : 412,791 = 412,791 : x
  2. Step 2: Convert to fraction form
    306,871/412,791 = 412,791/x
  3. Step 3: Cross multiply
    306,871x = 412,791 × 412,791
  4. Step 4: Simplify right side
    306,871x = 170,396,409,681
  5. Step 5: Solve for x
    x = 170,396,409,681/306,871
  6. Step 6: Final answer
    x = 555,270.49

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.