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Finding the Third Proportional to 172,316 and 257,441

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Solution

The third proportional to 172,316 and 257,441 is: 384,618.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,316 : 257,441 = 257,441 : x
  2. Step 2: Convert to fraction form
    172,316/257,441 = 257,441/x
  3. Step 3: Cross multiply
    172,316x = 257,441 × 257,441
  4. Step 4: Simplify right side
    172,316x = 66,275,868,481
  5. Step 5: Solve for x
    x = 66,275,868,481/172,316
  6. Step 6: Final answer
    x = 384,618.19

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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.