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Finding the Third Proportional to 31,102.88 and 66,643.88

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Solution

The third proportional to 31,102.88 and 66,643.88 is: 142,797.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,102.88 : 66,643.88 = 66,643.88 : x
  2. Step 2: Convert to fraction form
    31,102.88/66,643.88 = 66,643.88/x
  3. Step 3: Cross multiply
    31,102.88x = 66,643.88 × 66,643.88
  4. Step 4: Simplify right side
    31,102.88x = 4,441,406,075.02
  5. Step 5: Solve for x
    x = 4,441,406,075.02/31,102.88
  6. Step 6: Final answer
    x = 142,797.28

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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.