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Finding the Third Proportional to 251,442 and 510,174

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Solution

The third proportional to 251,442 and 510,174 is: 1,035,139.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,442 : 510,174 = 510,174 : x
  2. Step 2: Convert to fraction form
    251,442/510,174 = 510,174/x
  3. Step 3: Cross multiply
    251,442x = 510,174 × 510,174
  4. Step 4: Simplify right side
    251,442x = 260,277,510,276
  5. Step 5: Solve for x
    x = 260,277,510,276/251,442
  6. Step 6: Final answer
    x = 1,035,139.36

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.