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Finding the Third Proportional to 66,025,404 and 144,805,378

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Solution

The third proportional to 66,025,404 and 144,805,378 is: 317,583,781.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,025,404 : 144,805,378 = 144,805,378 : x
  2. Step 2: Convert to fraction form
    66,025,404/144,805,378 = 144,805,378/x
  3. Step 3: Cross multiply
    66,025,404x = 144,805,378 × 144,805,378
  4. Step 4: Simplify right side
    66,025,404x = 20,968,597,497,722,884
  5. Step 5: Solve for x
    x = 20,968,597,497,722,884/66,025,404
  6. Step 6: Final answer
    x = 317,583,781.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.