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Finding the Third Proportional to 256,043 and 387,602

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Solution

The third proportional to 256,043 and 387,602 is: 586,758.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,043 : 387,602 = 387,602 : x
  2. Step 2: Convert to fraction form
    256,043/387,602 = 387,602/x
  3. Step 3: Cross multiply
    256,043x = 387,602 × 387,602
  4. Step 4: Simplify right side
    256,043x = 150,235,310,404
  5. Step 5: Solve for x
    x = 150,235,310,404/256,043
  6. Step 6: Final answer
    x = 586,758.12

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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.