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Finding the Third Proportional to 432,869 and 939,670

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Solution

The third proportional to 432,869 and 939,670 is: 2,039,831.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,869 : 939,670 = 939,670 : x
  2. Step 2: Convert to fraction form
    432,869/939,670 = 939,670/x
  3. Step 3: Cross multiply
    432,869x = 939,670 × 939,670
  4. Step 4: Simplify right side
    432,869x = 882,979,708,900
  5. Step 5: Solve for x
    x = 882,979,708,900/432,869
  6. Step 6: Final answer
    x = 2,039,831.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.