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Finding the Third Proportional to 153,990 and 334,284

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Solution

The third proportional to 153,990 and 334,284 is: 725,669.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,990 : 334,284 = 334,284 : x
  2. Step 2: Convert to fraction form
    153,990/334,284 = 334,284/x
  3. Step 3: Cross multiply
    153,990x = 334,284 × 334,284
  4. Step 4: Simplify right side
    153,990x = 111,745,792,656
  5. Step 5: Solve for x
    x = 111,745,792,656/153,990
  6. Step 6: Final answer
    x = 725,669.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.