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Finding the Third Proportional to 398,147,892.75 and 618,184,239.19

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Solution

The third proportional to 398,147,892.75 and 618,184,239.19 is: 959,823,624.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,147,892.75 : 618,184,239.19 = 618,184,239.19 : x
  2. Step 2: Convert to fraction form
    398,147,892.75/618,184,239.19 = 618,184,239.19/x
  3. Step 3: Cross multiply
    398,147,892.75x = 618,184,239.19 × 618,184,239.19
  4. Step 4: Simplify right side
    398,147,892.75x = 382,151,753,579,828,224
  5. Step 5: Solve for x
    x = 382,151,753,579,828,224/398,147,892.75
  6. Step 6: Final answer
    x = 959,823,624.68

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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.