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Finding the Third Proportional to 283,720.50 and 428,967

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Solution

The third proportional to 283,720.50 and 428,967 is: 648,570.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,720.50 : 428,967 = 428,967 : x
  2. Step 2: Convert to fraction form
    283,720.50/428,967 = 428,967/x
  3. Step 3: Cross multiply
    283,720.50x = 428,967 × 428,967
  4. Step 4: Simplify right side
    283,720.50x = 184,012,687,089
  5. Step 5: Solve for x
    x = 184,012,687,089/283,720.50
  6. Step 6: Final answer
    x = 648,570.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.