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Finding the Third Proportional to 42,590 and 68,043

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Solution

The third proportional to 42,590 and 68,043 is: 108,707.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,590 : 68,043 = 68,043 : x
  2. Step 2: Convert to fraction form
    42,590/68,043 = 68,043/x
  3. Step 3: Cross multiply
    42,590x = 68,043 × 68,043
  4. Step 4: Simplify right side
    42,590x = 4,629,849,849
  5. Step 5: Solve for x
    x = 4,629,849,849/42,590
  6. Step 6: Final answer
    x = 108,707.44

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.