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Finding the Third Proportional to 111,770 and 239,518

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Solution

The third proportional to 111,770 and 239,518 is: 513,276.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,770 : 239,518 = 239,518 : x
  2. Step 2: Convert to fraction form
    111,770/239,518 = 239,518/x
  3. Step 3: Cross multiply
    111,770x = 239,518 × 239,518
  4. Step 4: Simplify right side
    111,770x = 57,368,872,324
  5. Step 5: Solve for x
    x = 57,368,872,324/111,770
  6. Step 6: Final answer
    x = 513,276.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.