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Finding the Third Proportional to 120,066,078 and 261,811,641

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Solution

The third proportional to 120,066,078 and 261,811,641 is: 570,896,763.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,066,078 : 261,811,641 = 261,811,641 : x
  2. Step 2: Convert to fraction form
    120,066,078/261,811,641 = 261,811,641/x
  3. Step 3: Cross multiply
    120,066,078x = 261,811,641 × 261,811,641
  4. Step 4: Simplify right side
    120,066,078x = 68,545,335,363,112,880
  5. Step 5: Solve for x
    x = 68,545,335,363,112,880/120,066,078
  6. Step 6: Final answer
    x = 570,896,763.72

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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.