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Finding the Third Proportional to 207,946 and 334,888

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Solution

The third proportional to 207,946 and 334,888 is: 539,322.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,946 : 334,888 = 334,888 : x
  2. Step 2: Convert to fraction form
    207,946/334,888 = 334,888/x
  3. Step 3: Cross multiply
    207,946x = 334,888 × 334,888
  4. Step 4: Simplify right side
    207,946x = 112,149,972,544
  5. Step 5: Solve for x
    x = 112,149,972,544/207,946
  6. Step 6: Final answer
    x = 539,322.58

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.