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Finding the Third Proportional to 399,157 and 602,866

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Solution

The third proportional to 399,157 and 602,866 is: 910,537.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,157 : 602,866 = 602,866 : x
  2. Step 2: Convert to fraction form
    399,157/602,866 = 602,866/x
  3. Step 3: Cross multiply
    399,157x = 602,866 × 602,866
  4. Step 4: Simplify right side
    399,157x = 363,447,413,956
  5. Step 5: Solve for x
    x = 363,447,413,956/399,157
  6. Step 6: Final answer
    x = 910,537.49

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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.