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Finding the Third Proportional to 172,368 and 257,515

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Solution

The third proportional to 172,368 and 257,515 is: 384,723.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,368 : 257,515 = 257,515 : x
  2. Step 2: Convert to fraction form
    172,368/257,515 = 257,515/x
  3. Step 3: Cross multiply
    172,368x = 257,515 × 257,515
  4. Step 4: Simplify right side
    172,368x = 66,313,975,225
  5. Step 5: Solve for x
    x = 66,313,975,225/172,368
  6. Step 6: Final answer
    x = 384,723.24

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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.