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Finding the Third Proportional to 231,410 and 369,530

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Solution

The third proportional to 231,410 and 369,530 is: 590,088.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,410 : 369,530 = 369,530 : x
  2. Step 2: Convert to fraction form
    231,410/369,530 = 369,530/x
  3. Step 3: Cross multiply
    231,410x = 369,530 × 369,530
  4. Step 4: Simplify right side
    231,410x = 136,552,420,900
  5. Step 5: Solve for x
    x = 136,552,420,900/231,410
  6. Step 6: Final answer
    x = 590,088.68

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.