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Finding the Third Proportional to 643,728 and 973,872

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Solution

The third proportional to 643,728 and 973,872 is: 1,473,334.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,728 : 973,872 = 973,872 : x
  2. Step 2: Convert to fraction form
    643,728/973,872 = 973,872/x
  3. Step 3: Cross multiply
    643,728x = 973,872 × 973,872
  4. Step 4: Simplify right side
    643,728x = 948,426,672,384
  5. Step 5: Solve for x
    x = 948,426,672,384/643,728
  6. Step 6: Final answer
    x = 1,473,334.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.