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Finding the Third Proportional to 172,612 and 372,968

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Solution

The third proportional to 172,612 and 372,968 is: 805,883.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,612 : 372,968 = 372,968 : x
  2. Step 2: Convert to fraction form
    172,612/372,968 = 372,968/x
  3. Step 3: Cross multiply
    172,612x = 372,968 × 372,968
  4. Step 4: Simplify right side
    172,612x = 139,105,129,024
  5. Step 5: Solve for x
    x = 139,105,129,024/172,612
  6. Step 6: Final answer
    x = 805,883.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.