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Finding the Third Proportional to 172,729.13 and 264,561.19

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Solution

The third proportional to 172,729.13 and 264,561.19 is: 405,216.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,729.13 : 264,561.19 = 264,561.19 : x
  2. Step 2: Convert to fraction form
    172,729.13/264,561.19 = 264,561.19/x
  3. Step 3: Cross multiply
    172,729.13x = 264,561.19 × 264,561.19
  4. Step 4: Simplify right side
    172,729.13x = 69,992,621,931.41
  5. Step 5: Solve for x
    x = 69,992,621,931.41/172,729.13
  6. Step 6: Final answer
    x = 405,216.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.