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Finding the Third Proportional to 66,025,400 and 144,805,370

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Solution

The third proportional to 66,025,400 and 144,805,370 is: 317,583,765.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,025,400 : 144,805,370 = 144,805,370 : x
  2. Step 2: Convert to fraction form
    66,025,400/144,805,370 = 144,805,370/x
  3. Step 3: Cross multiply
    66,025,400x = 144,805,370 × 144,805,370
  4. Step 4: Simplify right side
    66,025,400x = 20,968,595,180,836,900
  5. Step 5: Solve for x
    x = 20,968,595,180,836,900/66,025,400
  6. Step 6: Final answer
    x = 317,583,765.96

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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.