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Finding the Third Proportional to 202,328,408 and 477,464,866

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Solution

The third proportional to 202,328,408 and 477,464,866 is: 1,126,745,870.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,328,408 : 477,464,866 = 477,464,866 : x
  2. Step 2: Convert to fraction form
    202,328,408/477,464,866 = 477,464,866/x
  3. Step 3: Cross multiply
    202,328,408x = 477,464,866 × 477,464,866
  4. Step 4: Simplify right side
    202,328,408x = 227,972,698,264,397,952
  5. Step 5: Solve for x
    x = 227,972,698,264,397,952/202,328,408
  6. Step 6: Final answer
    x = 1,126,745,870.82

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.