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Finding the Third Proportional to 75,570 and 105,651

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Solution

The third proportional to 75,570 and 105,651 is: 147,705.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,570 : 105,651 = 105,651 : x
  2. Step 2: Convert to fraction form
    75,570/105,651 = 105,651/x
  3. Step 3: Cross multiply
    75,570x = 105,651 × 105,651
  4. Step 4: Simplify right side
    75,570x = 11,162,133,801
  5. Step 5: Solve for x
    x = 11,162,133,801/75,570
  6. Step 6: Final answer
    x = 147,705.89

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.