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Finding the Third Proportional to 264,550 and 399,211

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Solution

The third proportional to 264,550 and 399,211 is: 602,417.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,550 : 399,211 = 399,211 : x
  2. Step 2: Convert to fraction form
    264,550/399,211 = 399,211/x
  3. Step 3: Cross multiply
    264,550x = 399,211 × 399,211
  4. Step 4: Simplify right side
    264,550x = 159,369,422,521
  5. Step 5: Solve for x
    x = 159,369,422,521/264,550
  6. Step 6: Final answer
    x = 602,417.02

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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.