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Finding the Third Proportional to 30,931.50 and 66,237.75

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Solution

The third proportional to 30,931.50 and 66,237.75 is: 141,843.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,931.50 : 66,237.75 = 66,237.75 : x
  2. Step 2: Convert to fraction form
    30,931.50/66,237.75 = 66,237.75/x
  3. Step 3: Cross multiply
    30,931.50x = 66,237.75 × 66,237.75
  4. Step 4: Simplify right side
    30,931.50x = 4,387,439,525.06
  5. Step 5: Solve for x
    x = 4,387,439,525.06/30,931.50
  6. Step 6: Final answer
    x = 141,843.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.