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Finding the Third Proportional to 66,468.57 and 142,278.87

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Solution

The third proportional to 66,468.57 and 142,278.87 is: 304,554.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,468.57 : 142,278.87 = 142,278.87 : x
  2. Step 2: Convert to fraction form
    66,468.57/142,278.87 = 142,278.87/x
  3. Step 3: Cross multiply
    66,468.57x = 142,278.87 × 142,278.87
  4. Step 4: Simplify right side
    66,468.57x = 20,243,277,715.49
  5. Step 5: Solve for x
    x = 20,243,277,715.49/66,468.57
  6. Step 6: Final answer
    x = 304,554.14

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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.