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Finding the Third Proportional to 216,616 and 334,758

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Solution

The third proportional to 216,616 and 334,758 is: 517,334.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,616 : 334,758 = 334,758 : x
  2. Step 2: Convert to fraction form
    216,616/334,758 = 334,758/x
  3. Step 3: Cross multiply
    216,616x = 334,758 × 334,758
  4. Step 4: Simplify right side
    216,616x = 112,062,918,564
  5. Step 5: Solve for x
    x = 112,062,918,564/216,616
  6. Step 6: Final answer
    x = 517,334.45

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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.