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Finding the Third Proportional to 264,633 and 399,411

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Solution

The third proportional to 264,633 and 399,411 is: 602,831.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,633 : 399,411 = 399,411 : x
  2. Step 2: Convert to fraction form
    264,633/399,411 = 399,411/x
  3. Step 3: Cross multiply
    264,633x = 399,411 × 399,411
  4. Step 4: Simplify right side
    264,633x = 159,529,146,921
  5. Step 5: Solve for x
    x = 159,529,146,921/264,633
  6. Step 6: Final answer
    x = 602,831.65

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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.