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Finding the Third Proportional to 66,297,762 and 144,638,226

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Solution

The third proportional to 66,297,762 and 144,638,226 is: 315,549,360.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,297,762 : 144,638,226 = 144,638,226 : x
  2. Step 2: Convert to fraction form
    66,297,762/144,638,226 = 144,638,226/x
  3. Step 3: Cross multiply
    66,297,762x = 144,638,226 × 144,638,226
  4. Step 4: Simplify right side
    66,297,762x = 20,920,216,420,427,076
  5. Step 5: Solve for x
    x = 20,920,216,420,427,076/66,297,762
  6. Step 6: Final answer
    x = 315,549,360.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.