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Finding the Third Proportional to 265,936 and 399,090

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Solution

The third proportional to 265,936 and 399,090 is: 598,914.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,936 : 399,090 = 399,090 : x
  2. Step 2: Convert to fraction form
    265,936/399,090 = 399,090/x
  3. Step 3: Cross multiply
    265,936x = 399,090 × 399,090
  4. Step 4: Simplify right side
    265,936x = 159,272,828,100
  5. Step 5: Solve for x
    x = 159,272,828,100/265,936
  6. Step 6: Final answer
    x = 598,914.13

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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.