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Finding the Third Proportional to 42,728.63 and 66,332.81

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Solution

The third proportional to 42,728.63 and 66,332.81 is: 102,976.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,728.63 : 66,332.81 = 66,332.81 : x
  2. Step 2: Convert to fraction form
    42,728.63/66,332.81 = 66,332.81/x
  3. Step 3: Cross multiply
    42,728.63x = 66,332.81 × 66,332.81
  4. Step 4: Simplify right side
    42,728.63x = 4,400,042,014.16
  5. Step 5: Solve for x
    x = 4,400,042,014.16/42,728.63
  6. Step 6: Final answer
    x = 102,976.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.