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Finding the Third Proportional to 66,621 and 86,434.50

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Solution

The third proportional to 66,621 and 86,434.50 is: 112,140.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,621 : 86,434.50 = 86,434.50 : x
  2. Step 2: Convert to fraction form
    66,621/86,434.50 = 86,434.50/x
  3. Step 3: Cross multiply
    66,621x = 86,434.50 × 86,434.50
  4. Step 4: Simplify right side
    66,621x = 7,470,922,790.25
  5. Step 5: Solve for x
    x = 7,470,922,790.25/66,621
  6. Step 6: Final answer
    x = 112,140.66

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.