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Finding the Third Proportional to 135,440 and 297,128

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Solution

The third proportional to 135,440 and 297,128 is: 651,838.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,440 : 297,128 = 297,128 : x
  2. Step 2: Convert to fraction form
    135,440/297,128 = 297,128/x
  3. Step 3: Cross multiply
    135,440x = 297,128 × 297,128
  4. Step 4: Simplify right side
    135,440x = 88,285,048,384
  5. Step 5: Solve for x
    x = 88,285,048,384/135,440
  6. Step 6: Final answer
    x = 651,838.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.