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Finding the Third Proportional to 102,440 and 208,944

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Solution

The third proportional to 102,440 and 208,944 is: 426,177.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,440 : 208,944 = 208,944 : x
  2. Step 2: Convert to fraction form
    102,440/208,944 = 208,944/x
  3. Step 3: Cross multiply
    102,440x = 208,944 × 208,944
  4. Step 4: Simplify right side
    102,440x = 43,657,595,136
  5. Step 5: Solve for x
    x = 43,657,595,136/102,440
  6. Step 6: Final answer
    x = 426,177.23

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.