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Finding the Third Proportional to 27,135.50 and 42,440

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Solution

The third proportional to 27,135.50 and 42,440 is: 66,376.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,135.50 : 42,440 = 42,440 : x
  2. Step 2: Convert to fraction form
    27,135.50/42,440 = 42,440/x
  3. Step 3: Cross multiply
    27,135.50x = 42,440 × 42,440
  4. Step 4: Simplify right side
    27,135.50x = 1,801,153,600
  5. Step 5: Solve for x
    x = 1,801,153,600/27,135.50
  6. Step 6: Final answer
    x = 66,376.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.