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Finding the Third Proportional to 512,502 and 561,696

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Solution

The third proportional to 512,502 and 561,696 is: 615,612.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,502 : 561,696 = 561,696 : x
  2. Step 2: Convert to fraction form
    512,502/561,696 = 561,696/x
  3. Step 3: Cross multiply
    512,502x = 561,696 × 561,696
  4. Step 4: Simplify right side
    512,502x = 315,502,396,416
  5. Step 5: Solve for x
    x = 315,502,396,416/512,502
  6. Step 6: Final answer
    x = 615,612.03

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.