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Finding the Third Proportional to 256,072 and 387,646

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Solution

The third proportional to 256,072 and 387,646 is: 586,824.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,072 : 387,646 = 387,646 : x
  2. Step 2: Convert to fraction form
    256,072/387,646 = 387,646/x
  3. Step 3: Cross multiply
    256,072x = 387,646 × 387,646
  4. Step 4: Simplify right side
    256,072x = 150,269,421,316
  5. Step 5: Solve for x
    x = 150,269,421,316/256,072
  6. Step 6: Final answer
    x = 586,824.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.