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Finding the Third Proportional to 172,820.25 and 253,580.63

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Solution

The third proportional to 172,820.25 and 253,580.63 is: 372,081.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,820.25 : 253,580.63 = 253,580.63 : x
  2. Step 2: Convert to fraction form
    172,820.25/253,580.63 = 253,580.63/x
  3. Step 3: Cross multiply
    172,820.25x = 253,580.63 × 253,580.63
  4. Step 4: Simplify right side
    172,820.25x = 64,303,133,375.39
  5. Step 5: Solve for x
    x = 64,303,133,375.39/172,820.25
  6. Step 6: Final answer
    x = 372,081.01

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.