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Finding the Third Proportional to 399,673,665 and 599,510,457

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Solution

The third proportional to 399,673,665 and 599,510,457 is: 899,265,624.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,673,665 : 599,510,457 = 599,510,457 : x
  2. Step 2: Convert to fraction form
    399,673,665/599,510,457 = 599,510,457/x
  3. Step 3: Cross multiply
    399,673,665x = 599,510,457 × 599,510,457
  4. Step 4: Simplify right side
    399,673,665x = 359,412,788,052,348,864
  5. Step 5: Solve for x
    x = 359,412,788,052,348,864/399,673,665
  6. Step 6: Final answer
    x = 899,265,624.75

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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.