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Finding the Third Proportional to 399,219 and 602,977

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Solution

The third proportional to 399,219 and 602,977 is: 910,731.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,219 : 602,977 = 602,977 : x
  2. Step 2: Convert to fraction form
    399,219/602,977 = 602,977/x
  3. Step 3: Cross multiply
    399,219x = 602,977 × 602,977
  4. Step 4: Simplify right side
    399,219x = 363,581,262,529
  5. Step 5: Solve for x
    x = 363,581,262,529/399,219
  6. Step 6: Final answer
    x = 910,731.36

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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.