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Finding the Third Proportional to 172,784 and 257,844

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Solution

The third proportional to 172,784 and 257,844 is: 384,778.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,784 : 257,844 = 257,844 : x
  2. Step 2: Convert to fraction form
    172,784/257,844 = 257,844/x
  3. Step 3: Cross multiply
    172,784x = 257,844 × 257,844
  4. Step 4: Simplify right side
    172,784x = 66,483,528,336
  5. Step 5: Solve for x
    x = 66,483,528,336/172,784
  6. Step 6: Final answer
    x = 384,778.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.