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Finding the Third Proportional to 399,450 and 869,430

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Solution

The third proportional to 399,450 and 869,430 is: 1,892,373.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,450 : 869,430 = 869,430 : x
  2. Step 2: Convert to fraction form
    399,450/869,430 = 869,430/x
  3. Step 3: Cross multiply
    399,450x = 869,430 × 869,430
  4. Step 4: Simplify right side
    399,450x = 755,908,524,900
  5. Step 5: Solve for x
    x = 755,908,524,900/399,450
  6. Step 6: Final answer
    x = 1,892,373.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.