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Finding the Third Proportional to 333,688 and 517,121

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Solution

The third proportional to 333,688 and 517,121 is: 801,389.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,688 : 517,121 = 517,121 : x
  2. Step 2: Convert to fraction form
    333,688/517,121 = 517,121/x
  3. Step 3: Cross multiply
    333,688x = 517,121 × 517,121
  4. Step 4: Simplify right side
    333,688x = 267,414,128,641
  5. Step 5: Solve for x
    x = 267,414,128,641/333,688
  6. Step 6: Final answer
    x = 801,389.71

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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.