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Finding the Third Proportional to 65,841.50 and 93,875

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Solution

The third proportional to 65,841.50 and 93,875 is: 133,844.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,841.50 : 93,875 = 93,875 : x
  2. Step 2: Convert to fraction form
    65,841.50/93,875 = 93,875/x
  3. Step 3: Cross multiply
    65,841.50x = 93,875 × 93,875
  4. Step 4: Simplify right side
    65,841.50x = 8,812,515,625
  5. Step 5: Solve for x
    x = 8,812,515,625/65,841.50
  6. Step 6: Final answer
    x = 133,844.39

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.