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Finding the Third Proportional to 169,020 and 371,520

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Solution

The third proportional to 169,020 and 371,520 is: 816,631.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,020 : 371,520 = 371,520 : x
  2. Step 2: Convert to fraction form
    169,020/371,520 = 371,520/x
  3. Step 3: Cross multiply
    169,020x = 371,520 × 371,520
  4. Step 4: Simplify right side
    169,020x = 138,027,110,400
  5. Step 5: Solve for x
    x = 138,027,110,400/169,020
  6. Step 6: Final answer
    x = 816,631.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.