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Finding the Third Proportional to 30,575.81 and 66,240.28

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Solution

The third proportional to 30,575.81 and 66,240.28 is: 143,504.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,575.81 : 66,240.28 = 66,240.28 : x
  2. Step 2: Convert to fraction form
    30,575.81/66,240.28 = 66,240.28/x
  3. Step 3: Cross multiply
    30,575.81x = 66,240.28 × 66,240.28
  4. Step 4: Simplify right side
    30,575.81x = 4,387,774,860.08
  5. Step 5: Solve for x
    x = 4,387,774,860.08/30,575.81
  6. Step 6: Final answer
    x = 143,504.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.