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Finding the Third Proportional to 399,656 and 602,124

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Solution

The third proportional to 399,656 and 602,124 is: 907,163.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,656 : 602,124 = 602,124 : x
  2. Step 2: Convert to fraction form
    399,656/602,124 = 602,124/x
  3. Step 3: Cross multiply
    399,656x = 602,124 × 602,124
  4. Step 4: Simplify right side
    399,656x = 362,553,311,376
  5. Step 5: Solve for x
    x = 362,553,311,376/399,656
  6. Step 6: Final answer
    x = 907,163.44

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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.