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Finding the Third Proportional to 66,130.88 and 142,716.38

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Solution

The third proportional to 66,130.88 and 142,716.38 is: 307,994.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,130.88 : 142,716.38 = 142,716.38 : x
  2. Step 2: Convert to fraction form
    66,130.88/142,716.38 = 142,716.38/x
  3. Step 3: Cross multiply
    66,130.88x = 142,716.38 × 142,716.38
  4. Step 4: Simplify right side
    66,130.88x = 20,367,963,693.14
  5. Step 5: Solve for x
    x = 20,367,963,693.14/66,130.88
  6. Step 6: Final answer
    x = 307,994.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.