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Finding the Third Proportional to 169,778 and 369,040

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Solution

The third proportional to 169,778 and 369,040 is: 802,168.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,778 : 369,040 = 369,040 : x
  2. Step 2: Convert to fraction form
    169,778/369,040 = 369,040/x
  3. Step 3: Cross multiply
    169,778x = 369,040 × 369,040
  4. Step 4: Simplify right side
    169,778x = 136,190,521,600
  5. Step 5: Solve for x
    x = 136,190,521,600/169,778
  6. Step 6: Final answer
    x = 802,168.25

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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.