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Finding the Third Proportional to 30,470.25 and 66,529.50

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Solution

The third proportional to 30,470.25 and 66,529.50 is: 145,262.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,470.25 : 66,529.50 = 66,529.50 : x
  2. Step 2: Convert to fraction form
    30,470.25/66,529.50 = 66,529.50/x
  3. Step 3: Cross multiply
    30,470.25x = 66,529.50 × 66,529.50
  4. Step 4: Simplify right side
    30,470.25x = 4,426,174,370.25
  5. Step 5: Solve for x
    x = 4,426,174,370.25/30,470.25
  6. Step 6: Final answer
    x = 145,262.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.