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Finding the Third Proportional to 45,392 and 67,440

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Solution

The third proportional to 45,392 and 67,440 is: 100,197.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,392 : 67,440 = 67,440 : x
  2. Step 2: Convert to fraction form
    45,392/67,440 = 67,440/x
  3. Step 3: Cross multiply
    45,392x = 67,440 × 67,440
  4. Step 4: Simplify right side
    45,392x = 4,548,153,600
  5. Step 5: Solve for x
    x = 4,548,153,600/45,392
  6. Step 6: Final answer
    x = 100,197.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.