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Finding the Third Proportional to 264,557 and 399,223

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Solution

The third proportional to 264,557 and 399,223 is: 602,437.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,557 : 399,223 = 399,223 : x
  2. Step 2: Convert to fraction form
    264,557/399,223 = 399,223/x
  3. Step 3: Cross multiply
    264,557x = 399,223 × 399,223
  4. Step 4: Simplify right side
    264,557x = 159,379,003,729
  5. Step 5: Solve for x
    x = 159,379,003,729/264,557
  6. Step 6: Final answer
    x = 602,437.30

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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.