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Finding the Third Proportional to 66,763,378 and 142,345,286

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Solution

The third proportional to 66,763,378 and 142,345,286 is: 303,492,439.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,763,378 : 142,345,286 = 142,345,286 : x
  2. Step 2: Convert to fraction form
    66,763,378/142,345,286 = 142,345,286/x
  3. Step 3: Cross multiply
    66,763,378x = 142,345,286 × 142,345,286
  4. Step 4: Simplify right side
    66,763,378x = 20,262,180,446,421,796
  5. Step 5: Solve for x
    x = 20,262,180,446,421,796/66,763,378
  6. Step 6: Final answer
    x = 303,492,439.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.