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Finding the Third Proportional to 399,716 and 864,664

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Solution

The third proportional to 399,716 and 864,664 is: 1,870,437.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,716 : 864,664 = 864,664 : x
  2. Step 2: Convert to fraction form
    399,716/864,664 = 864,664/x
  3. Step 3: Cross multiply
    399,716x = 864,664 × 864,664
  4. Step 4: Simplify right side
    399,716x = 747,643,832,896
  5. Step 5: Solve for x
    x = 747,643,832,896/399,716
  6. Step 6: Final answer
    x = 1,870,437.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.