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Finding the Third Proportional to 162,072 and 256,431

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Solution

The third proportional to 162,072 and 256,431 is: 405,726.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,072 : 256,431 = 256,431 : x
  2. Step 2: Convert to fraction form
    162,072/256,431 = 256,431/x
  3. Step 3: Cross multiply
    162,072x = 256,431 × 256,431
  4. Step 4: Simplify right side
    162,072x = 65,756,857,761
  5. Step 5: Solve for x
    x = 65,756,857,761/162,072
  6. Step 6: Final answer
    x = 405,726.21

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.