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Finding the Third Proportional to 103,128 and 217,312

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Solution

The third proportional to 103,128 and 217,312 is: 457,921.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,128 : 217,312 = 217,312 : x
  2. Step 2: Convert to fraction form
    103,128/217,312 = 217,312/x
  3. Step 3: Cross multiply
    103,128x = 217,312 × 217,312
  4. Step 4: Simplify right side
    103,128x = 47,224,505,344
  5. Step 5: Solve for x
    x = 47,224,505,344/103,128
  6. Step 6: Final answer
    x = 457,921.28

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.