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Finding the Third Proportional to 256,423.50 and 425,601

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Solution

The third proportional to 256,423.50 and 425,601 is: 706,394.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,423.50 : 425,601 = 425,601 : x
  2. Step 2: Convert to fraction form
    256,423.50/425,601 = 425,601/x
  3. Step 3: Cross multiply
    256,423.50x = 425,601 × 425,601
  4. Step 4: Simplify right side
    256,423.50x = 181,136,211,201
  5. Step 5: Solve for x
    x = 181,136,211,201/256,423.50
  6. Step 6: Final answer
    x = 706,394.74

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.