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Finding the Third Proportional to 64,400 and 94,128

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Solution

The third proportional to 64,400 and 94,128 is: 137,578.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,400 : 94,128 = 94,128 : x
  2. Step 2: Convert to fraction form
    64,400/94,128 = 94,128/x
  3. Step 3: Cross multiply
    64,400x = 94,128 × 94,128
  4. Step 4: Simplify right side
    64,400x = 8,860,080,384
  5. Step 5: Solve for x
    x = 8,860,080,384/64,400
  6. Step 6: Final answer
    x = 137,578.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.