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Finding the Third Proportional to 119,272 and 252,740

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Solution

The third proportional to 119,272 and 252,740 is: 535,561.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,272 : 252,740 = 252,740 : x
  2. Step 2: Convert to fraction form
    119,272/252,740 = 252,740/x
  3. Step 3: Cross multiply
    119,272x = 252,740 × 252,740
  4. Step 4: Simplify right side
    119,272x = 63,877,507,600
  5. Step 5: Solve for x
    x = 63,877,507,600/119,272
  6. Step 6: Final answer
    x = 535,561.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.