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Finding the Third Proportional to 64,128 and 87,360

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Solution

The third proportional to 64,128 and 87,360 is: 119,008.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,128 : 87,360 = 87,360 : x
  2. Step 2: Convert to fraction form
    64,128/87,360 = 87,360/x
  3. Step 3: Cross multiply
    64,128x = 87,360 × 87,360
  4. Step 4: Simplify right side
    64,128x = 7,631,769,600
  5. Step 5: Solve for x
    x = 7,631,769,600/64,128
  6. Step 6: Final answer
    x = 119,008.38

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.