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Finding the Third Proportional to 309,622.50 and 458,692

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Solution

The third proportional to 309,622.50 and 458,692 is: 679,531.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,622.50 : 458,692 = 458,692 : x
  2. Step 2: Convert to fraction form
    309,622.50/458,692 = 458,692/x
  3. Step 3: Cross multiply
    309,622.50x = 458,692 × 458,692
  4. Step 4: Simplify right side
    309,622.50x = 210,398,350,864
  5. Step 5: Solve for x
    x = 210,398,350,864/309,622.50
  6. Step 6: Final answer
    x = 679,531.85

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.