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Finding the Third Proportional to 30,681.25 and 66,203.50

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Solution

The third proportional to 30,681.25 and 66,203.50 is: 142,852.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,681.25 : 66,203.50 = 66,203.50 : x
  2. Step 2: Convert to fraction form
    30,681.25/66,203.50 = 66,203.50/x
  3. Step 3: Cross multiply
    30,681.25x = 66,203.50 × 66,203.50
  4. Step 4: Simplify right side
    30,681.25x = 4,382,903,412.25
  5. Step 5: Solve for x
    x = 4,382,903,412.25/30,681.25
  6. Step 6: Final answer
    x = 142,852.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.