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Finding the Third Proportional to 66,737 and 89,890

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Solution

The third proportional to 66,737 and 89,890 is: 121,075.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,737 : 89,890 = 89,890 : x
  2. Step 2: Convert to fraction form
    66,737/89,890 = 89,890/x
  3. Step 3: Cross multiply
    66,737x = 89,890 × 89,890
  4. Step 4: Simplify right side
    66,737x = 8,080,212,100
  5. Step 5: Solve for x
    x = 8,080,212,100/66,737
  6. Step 6: Final answer
    x = 121,075.45

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.