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Finding the Third Proportional to 398,147,874.19 and 618,184,207.13

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Solution

The third proportional to 398,147,874.19 and 618,184,207.13 is: 959,823,569.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,147,874.19 : 618,184,207.13 = 618,184,207.13 : x
  2. Step 2: Convert to fraction form
    398,147,874.19/618,184,207.13 = 618,184,207.13/x
  3. Step 3: Cross multiply
    398,147,874.19x = 618,184,207.13 × 618,184,207.13
  4. Step 4: Simplify right side
    398,147,874.19x = 382,151,713,938,764,928
  5. Step 5: Solve for x
    x = 382,151,713,938,764,928/398,147,874.19
  6. Step 6: Final answer
    x = 959,823,569.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.