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Finding the Third Proportional to 399,070 and 867,964

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Solution

The third proportional to 399,070 and 867,964 is: 1,887,792.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,070 : 867,964 = 867,964 : x
  2. Step 2: Convert to fraction form
    399,070/867,964 = 867,964/x
  3. Step 3: Cross multiply
    399,070x = 867,964 × 867,964
  4. Step 4: Simplify right side
    399,070x = 753,361,505,296
  5. Step 5: Solve for x
    x = 753,361,505,296/399,070
  6. Step 6: Final answer
    x = 1,887,792.88

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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.