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Finding the Third Proportional to 172,574 and 369,138

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Solution

The third proportional to 172,574 and 369,138 is: 789,590.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,574 : 369,138 = 369,138 : x
  2. Step 2: Convert to fraction form
    172,574/369,138 = 369,138/x
  3. Step 3: Cross multiply
    172,574x = 369,138 × 369,138
  4. Step 4: Simplify right side
    172,574x = 136,262,863,044
  5. Step 5: Solve for x
    x = 136,262,863,044/172,574
  6. Step 6: Final answer
    x = 789,590.92

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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.