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Finding the Third Proportional to 252,192 and 537,768

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Solution

The third proportional to 252,192 and 537,768 is: 1,146,723.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,192 : 537,768 = 537,768 : x
  2. Step 2: Convert to fraction form
    252,192/537,768 = 537,768/x
  3. Step 3: Cross multiply
    252,192x = 537,768 × 537,768
  4. Step 4: Simplify right side
    252,192x = 289,194,421,824
  5. Step 5: Solve for x
    x = 289,194,421,824/252,192
  6. Step 6: Final answer
    x = 1,146,723.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.