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Finding the Third Proportional to 71,565 and 105,159

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Solution

The third proportional to 71,565 and 105,159 is: 154,522.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,565 : 105,159 = 105,159 : x
  2. Step 2: Convert to fraction form
    71,565/105,159 = 105,159/x
  3. Step 3: Cross multiply
    71,565x = 105,159 × 105,159
  4. Step 4: Simplify right side
    71,565x = 11,058,415,281
  5. Step 5: Solve for x
    x = 11,058,415,281/71,565
  6. Step 6: Final answer
    x = 154,522.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.