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Finding the Third Proportional to 27,590 and 42,798

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Solution

The third proportional to 27,590 and 42,798 is: 66,388.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,590 : 42,798 = 42,798 : x
  2. Step 2: Convert to fraction form
    27,590/42,798 = 42,798/x
  3. Step 3: Cross multiply
    27,590x = 42,798 × 42,798
  4. Step 4: Simplify right side
    27,590x = 1,831,668,804
  5. Step 5: Solve for x
    x = 1,831,668,804/27,590
  6. Step 6: Final answer
    x = 66,388.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.