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Finding the Third Proportional to 66,566.25 and 144,796.50

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Solution

The third proportional to 66,566.25 and 144,796.50 is: 314,964.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,566.25 : 144,796.50 = 144,796.50 : x
  2. Step 2: Convert to fraction form
    66,566.25/144,796.50 = 144,796.50/x
  3. Step 3: Cross multiply
    66,566.25x = 144,796.50 × 144,796.50
  4. Step 4: Simplify right side
    66,566.25x = 20,966,026,412.25
  5. Step 5: Solve for x
    x = 20,966,026,412.25/66,566.25
  6. Step 6: Final answer
    x = 314,964.81

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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.