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Finding the Third Proportional to 451,663,659 and 690,477,179

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Solution

The third proportional to 451,663,659 and 690,477,179 is: 1,055,561,423.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,663,659 : 690,477,179 = 690,477,179 : x
  2. Step 2: Convert to fraction form
    451,663,659/690,477,179 = 690,477,179/x
  3. Step 3: Cross multiply
    451,663,659x = 690,477,179 × 690,477,179
  4. Step 4: Simplify right side
    451,663,659x = 476,758,734,719,798,016
  5. Step 5: Solve for x
    x = 476,758,734,719,798,016/451,663,659
  6. Step 6: Final answer
    x = 1,055,561,423.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.