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Finding the Third Proportional to 66,025,420 and 144,805,410

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Solution

The third proportional to 66,025,420 and 144,805,410 is: 317,583,845.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,025,420 : 144,805,410 = 144,805,410 : x
  2. Step 2: Convert to fraction form
    66,025,420/144,805,410 = 144,805,410/x
  3. Step 3: Cross multiply
    66,025,420x = 144,805,410 × 144,805,410
  4. Step 4: Simplify right side
    66,025,420x = 20,968,606,765,268,100
  5. Step 5: Solve for x
    x = 20,968,606,765,268,100/66,025,420
  6. Step 6: Final answer
    x = 317,583,845.21

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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.