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Finding the Third Proportional to 200,471,638.50 and 318,992,964.75

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Solution

The third proportional to 200,471,638.50 and 318,992,964.75 is: 507,585,573.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,471,638.50 : 318,992,964.75 = 318,992,964.75 : x
  2. Step 2: Convert to fraction form
    200,471,638.50/318,992,964.75 = 318,992,964.75/x
  3. Step 3: Cross multiply
    200,471,638.50x = 318,992,964.75 × 318,992,964.75
  4. Step 4: Simplify right side
    200,471,638.50x = 101,756,511,559,994,736
  5. Step 5: Solve for x
    x = 101,756,511,559,994,736/200,471,638.50
  6. Step 6: Final answer
    x = 507,585,573.31

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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.