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Finding the Third Proportional to 398,147,875.88 and 618,184,211.34

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Solution

The third proportional to 398,147,875.88 and 618,184,211.34 is: 959,823,578.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,147,875.88 : 618,184,211.34 = 618,184,211.34 : x
  2. Step 2: Convert to fraction form
    398,147,875.88/618,184,211.34 = 618,184,211.34/x
  3. Step 3: Cross multiply
    398,147,875.88x = 618,184,211.34 × 618,184,211.34
  4. Step 4: Simplify right side
    398,147,875.88x = 382,151,719,154,694,144
  5. Step 5: Solve for x
    x = 382,151,719,154,694,144/398,147,875.88
  6. Step 6: Final answer
    x = 959,823,578.90

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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.