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Finding the Third Proportional to 153,806 and 334,540

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Solution

The third proportional to 153,806 and 334,540 is: 727,650.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,806 : 334,540 = 334,540 : x
  2. Step 2: Convert to fraction form
    153,806/334,540 = 334,540/x
  3. Step 3: Cross multiply
    153,806x = 334,540 × 334,540
  4. Step 4: Simplify right side
    153,806x = 111,917,011,600
  5. Step 5: Solve for x
    x = 111,917,011,600/153,806
  6. Step 6: Final answer
    x = 727,650.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.