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Finding the Third Proportional to 421,832 and 651,372

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Solution

The third proportional to 421,832 and 651,372 is: 1,005,816.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,832 : 651,372 = 651,372 : x
  2. Step 2: Convert to fraction form
    421,832/651,372 = 651,372/x
  3. Step 3: Cross multiply
    421,832x = 651,372 × 651,372
  4. Step 4: Simplify right side
    421,832x = 424,285,482,384
  5. Step 5: Solve for x
    x = 424,285,482,384/421,832
  6. Step 6: Final answer
    x = 1,005,816.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.