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Finding the Third Proportional to 648,880 and 867,964

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Solution

The third proportional to 648,880 and 867,964 is: 1,161,018.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,880 : 867,964 = 867,964 : x
  2. Step 2: Convert to fraction form
    648,880/867,964 = 867,964/x
  3. Step 3: Cross multiply
    648,880x = 867,964 × 867,964
  4. Step 4: Simplify right side
    648,880x = 753,361,505,296
  5. Step 5: Solve for x
    x = 753,361,505,296/648,880
  6. Step 6: Final answer
    x = 1,161,018.22

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.