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Finding the Third Proportional to 397,323 and 869,726

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Solution

The third proportional to 397,323 and 869,726 is: 1,903,799.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,323 : 869,726 = 869,726 : x
  2. Step 2: Convert to fraction form
    397,323/869,726 = 869,726/x
  3. Step 3: Cross multiply
    397,323x = 869,726 × 869,726
  4. Step 4: Simplify right side
    397,323x = 756,423,315,076
  5. Step 5: Solve for x
    x = 756,423,315,076/397,323
  6. Step 6: Final answer
    x = 1,903,799.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.