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Finding the Third Proportional to 172,699 and 371,642

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Solution

The third proportional to 172,699 and 371,642 is: 799,760.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,699 : 371,642 = 371,642 : x
  2. Step 2: Convert to fraction form
    172,699/371,642 = 371,642/x
  3. Step 3: Cross multiply
    172,699x = 371,642 × 371,642
  4. Step 4: Simplify right side
    172,699x = 138,117,776,164
  5. Step 5: Solve for x
    x = 138,117,776,164/172,699
  6. Step 6: Final answer
    x = 799,760.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.