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Finding the Third Proportional to 75,564 and 105,642

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Solution

The third proportional to 75,564 and 105,642 is: 147,692.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,564 : 105,642 = 105,642 : x
  2. Step 2: Convert to fraction form
    75,564/105,642 = 105,642/x
  3. Step 3: Cross multiply
    75,564x = 105,642 × 105,642
  4. Step 4: Simplify right side
    75,564x = 11,160,232,164
  5. Step 5: Solve for x
    x = 11,160,232,164/75,564
  6. Step 6: Final answer
    x = 147,692.45

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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.