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Finding the Third Proportional to 66,495.50 and 144,293.50

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Solution

The third proportional to 66,495.50 and 144,293.50 is: 313,113.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,495.50 : 144,293.50 = 144,293.50 : x
  2. Step 2: Convert to fraction form
    66,495.50/144,293.50 = 144,293.50/x
  3. Step 3: Cross multiply
    66,495.50x = 144,293.50 × 144,293.50
  4. Step 4: Simplify right side
    66,495.50x = 20,820,614,142.25
  5. Step 5: Solve for x
    x = 20,820,614,142.25/66,495.50
  6. Step 6: Final answer
    x = 313,113.13

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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.