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Finding the Third Proportional to 231,915 and 503,487

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Solution

The third proportional to 231,915 and 503,487 is: 1,093,069.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,915 : 503,487 = 503,487 : x
  2. Step 2: Convert to fraction form
    231,915/503,487 = 503,487/x
  3. Step 3: Cross multiply
    231,915x = 503,487 × 503,487
  4. Step 4: Simplify right side
    231,915x = 253,499,159,169
  5. Step 5: Solve for x
    x = 253,499,159,169/231,915
  6. Step 6: Final answer
    x = 1,093,069.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.