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Finding the Third Proportional to 66,602.25 and 142,651.13

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Solution

The third proportional to 66,602.25 and 142,651.13 is: 305,535.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,602.25 : 142,651.13 = 142,651.13 : x
  2. Step 2: Convert to fraction form
    66,602.25/142,651.13 = 142,651.13/x
  3. Step 3: Cross multiply
    66,602.25x = 142,651.13 × 142,651.13
  4. Step 4: Simplify right side
    66,602.25x = 20,349,343,463.77
  5. Step 5: Solve for x
    x = 20,349,343,463.77/66,602.25
  6. Step 6: Final answer
    x = 305,535.38

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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.