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Finding the Third Proportional to 27,392 and 64,640

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Solution

The third proportional to 27,392 and 64,640 is: 152,538.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,392 : 64,640 = 64,640 : x
  2. Step 2: Convert to fraction form
    27,392/64,640 = 64,640/x
  3. Step 3: Cross multiply
    27,392x = 64,640 × 64,640
  4. Step 4: Simplify right side
    27,392x = 4,178,329,600
  5. Step 5: Solve for x
    x = 4,178,329,600/27,392
  6. Step 6: Final answer
    x = 152,538.32

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.