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Finding the Third Proportional to 421,552 and 642,832

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Solution

The third proportional to 421,552 and 642,832 is: 980,265.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,552 : 642,832 = 642,832 : x
  2. Step 2: Convert to fraction form
    421,552/642,832 = 642,832/x
  3. Step 3: Cross multiply
    421,552x = 642,832 × 642,832
  4. Step 4: Simplify right side
    421,552x = 413,232,980,224
  5. Step 5: Solve for x
    x = 413,232,980,224/421,552
  6. Step 6: Final answer
    x = 980,265.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.