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Finding the Third Proportional to 200,471,551 and 318,992,831

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Solution

The third proportional to 200,471,551 and 318,992,831 is: 507,585,369.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,471,551 : 318,992,831 = 318,992,831 : x
  2. Step 2: Convert to fraction form
    200,471,551/318,992,831 = 318,992,831/x
  3. Step 3: Cross multiply
    200,471,551x = 318,992,831 × 318,992,831
  4. Step 4: Simplify right side
    200,471,551x = 101,756,426,229,394,560
  5. Step 5: Solve for x
    x = 101,756,426,229,394,560/200,471,551
  6. Step 6: Final answer
    x = 507,585,369.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.