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Finding the Third Proportional to 171,428 and 256,974

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Solution

The third proportional to 171,428 and 256,974 is: 385,209.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,428 : 256,974 = 256,974 : x
  2. Step 2: Convert to fraction form
    171,428/256,974 = 256,974/x
  3. Step 3: Cross multiply
    171,428x = 256,974 × 256,974
  4. Step 4: Simplify right side
    171,428x = 66,035,636,676
  5. Step 5: Solve for x
    x = 66,035,636,676/171,428
  6. Step 6: Final answer
    x = 385,209.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.