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Finding the Third Proportional to 161,919 and 256,000.50

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Solution

The third proportional to 161,919 and 256,000.50 is: 404,747.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,919 : 256,000.50 = 256,000.50 : x
  2. Step 2: Convert to fraction form
    161,919/256,000.50 = 256,000.50/x
  3. Step 3: Cross multiply
    161,919x = 256,000.50 × 256,000.50
  4. Step 4: Simplify right side
    161,919x = 65,536,256,000.25
  5. Step 5: Solve for x
    x = 65,536,256,000.25/161,919
  6. Step 6: Final answer
    x = 404,747.16

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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.