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Finding the Third Proportional to 289,982,958 and 439,186,149

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Solution

The third proportional to 289,982,958 and 439,186,149 is: 665,157,962.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,982,958 : 439,186,149 = 439,186,149 : x
  2. Step 2: Convert to fraction form
    289,982,958/439,186,149 = 439,186,149/x
  3. Step 3: Cross multiply
    289,982,958x = 439,186,149 × 439,186,149
  4. Step 4: Simplify right side
    289,982,958x = 192,884,473,473,450,208
  5. Step 5: Solve for x
    x = 192,884,473,473,450,208/289,982,958
  6. Step 6: Final answer
    x = 665,157,962.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.