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Finding the Third Proportional to 172,437 and 266,036

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Solution

The third proportional to 172,437 and 266,036 is: 410,440.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,437 : 266,036 = 266,036 : x
  2. Step 2: Convert to fraction form
    172,437/266,036 = 266,036/x
  3. Step 3: Cross multiply
    172,437x = 266,036 × 266,036
  4. Step 4: Simplify right side
    172,437x = 70,775,153,296
  5. Step 5: Solve for x
    x = 70,775,153,296/172,437
  6. Step 6: Final answer
    x = 410,440.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.