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Finding the Third Proportional to 172,320 and 257,445

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Solution

The third proportional to 172,320 and 257,445 is: 384,621.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,320 : 257,445 = 257,445 : x
  2. Step 2: Convert to fraction form
    172,320/257,445 = 257,445/x
  3. Step 3: Cross multiply
    172,320x = 257,445 × 257,445
  4. Step 4: Simplify right side
    172,320x = 66,277,928,025
  5. Step 5: Solve for x
    x = 66,277,928,025/172,320
  6. Step 6: Final answer
    x = 384,621.22

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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.