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Finding the Third Proportional to 483,489 and 679,657.50

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Solution

The third proportional to 483,489 and 679,657.50 is: 955,418.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,489 : 679,657.50 = 679,657.50 : x
  2. Step 2: Convert to fraction form
    483,489/679,657.50 = 679,657.50/x
  3. Step 3: Cross multiply
    483,489x = 679,657.50 × 679,657.50
  4. Step 4: Simplify right side
    483,489x = 461,934,317,306.25
  5. Step 5: Solve for x
    x = 461,934,317,306.25/483,489
  6. Step 6: Final answer
    x = 955,418.46

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.