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Finding the Third Proportional to 172,386 and 264,906

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Solution

The third proportional to 172,386 and 264,906 is: 407,081.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,386 : 264,906 = 264,906 : x
  2. Step 2: Convert to fraction form
    172,386/264,906 = 264,906/x
  3. Step 3: Cross multiply
    172,386x = 264,906 × 264,906
  4. Step 4: Simplify right side
    172,386x = 70,175,188,836
  5. Step 5: Solve for x
    x = 70,175,188,836/172,386
  6. Step 6: Final answer
    x = 407,081.72

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.