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Finding the Third Proportional to 216,589 and 334,721

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Solution

The third proportional to 216,589 and 334,721 is: 517,284.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,589 : 334,721 = 334,721 : x
  2. Step 2: Convert to fraction form
    216,589/334,721 = 334,721/x
  3. Step 3: Cross multiply
    216,589x = 334,721 × 334,721
  4. Step 4: Simplify right side
    216,589x = 112,038,147,841
  5. Step 5: Solve for x
    x = 112,038,147,841/216,589
  6. Step 6: Final answer
    x = 517,284.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.