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Finding the Third Proportional to 228,470 and 502,489

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Solution

The third proportional to 228,470 and 502,489 is: 1,105,156.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,470 : 502,489 = 502,489 : x
  2. Step 2: Convert to fraction form
    228,470/502,489 = 502,489/x
  3. Step 3: Cross multiply
    228,470x = 502,489 × 502,489
  4. Step 4: Simplify right side
    228,470x = 252,495,195,121
  5. Step 5: Solve for x
    x = 252,495,195,121/228,470
  6. Step 6: Final answer
    x = 1,105,156.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.