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Finding the Third Proportional to 409,091,690 and 614,109,939

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Solution

The third proportional to 409,091,690 and 614,109,939 is: 921,874,060.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,091,690 : 614,109,939 = 614,109,939 : x
  2. Step 2: Convert to fraction form
    409,091,690/614,109,939 = 614,109,939/x
  3. Step 3: Cross multiply
    409,091,690x = 614,109,939 × 614,109,939
  4. Step 4: Simplify right side
    409,091,690x = 377,131,017,178,583,744
  5. Step 5: Solve for x
    x = 377,131,017,178,583,744/409,091,690
  6. Step 6: Final answer
    x = 921,874,060.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.