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Finding the Third Proportional to 265,598 and 399,411

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Solution

The third proportional to 265,598 and 399,411 is: 600,641.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,598 : 399,411 = 399,411 : x
  2. Step 2: Convert to fraction form
    265,598/399,411 = 399,411/x
  3. Step 3: Cross multiply
    265,598x = 399,411 × 399,411
  4. Step 4: Simplify right side
    265,598x = 159,529,146,921
  5. Step 5: Solve for x
    x = 159,529,146,921/265,598
  6. Step 6: Final answer
    x = 600,641.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.