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Finding the Third Proportional to 75,643.50 and 102,782.25

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Solution

The third proportional to 75,643.50 and 102,782.25 is: 139,657.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,643.50 : 102,782.25 = 102,782.25 : x
  2. Step 2: Convert to fraction form
    75,643.50/102,782.25 = 102,782.25/x
  3. Step 3: Cross multiply
    75,643.50x = 102,782.25 × 102,782.25
  4. Step 4: Simplify right side
    75,643.50x = 10,564,190,915.06
  5. Step 5: Solve for x
    x = 10,564,190,915.06/75,643.50
  6. Step 6: Final answer
    x = 139,657.62

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.