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Finding the Third Proportional to 169,830 and 372,303

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Solution

The third proportional to 169,830 and 372,303 is: 816,166.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,830 : 372,303 = 372,303 : x
  2. Step 2: Convert to fraction form
    169,830/372,303 = 372,303/x
  3. Step 3: Cross multiply
    169,830x = 372,303 × 372,303
  4. Step 4: Simplify right side
    169,830x = 138,609,523,809
  5. Step 5: Solve for x
    x = 138,609,523,809/169,830
  6. Step 6: Final answer
    x = 816,166.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.