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Finding the Third Proportional to 66,124.50 and 100,737

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Solution

The third proportional to 66,124.50 and 100,737 is: 153,467.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,124.50 : 100,737 = 100,737 : x
  2. Step 2: Convert to fraction form
    66,124.50/100,737 = 100,737/x
  3. Step 3: Cross multiply
    66,124.50x = 100,737 × 100,737
  4. Step 4: Simplify right side
    66,124.50x = 10,147,943,169
  5. Step 5: Solve for x
    x = 10,147,943,169/66,124.50
  6. Step 6: Final answer
    x = 153,467.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.