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Finding the Third Proportional to 66,465 and 102,161.81

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Solution

The third proportional to 66,465 and 102,161.81 is: 157,030.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,465 : 102,161.81 = 102,161.81 : x
  2. Step 2: Convert to fraction form
    66,465/102,161.81 = 102,161.81/x
  3. Step 3: Cross multiply
    66,465x = 102,161.81 × 102,161.81
  4. Step 4: Simplify right side
    66,465x = 10,437,035,933.29
  5. Step 5: Solve for x
    x = 10,437,035,933.29/66,465
  6. Step 6: Final answer
    x = 157,030.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.