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Finding the Third Proportional to 411,008 and 613,740

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Solution

The third proportional to 411,008 and 613,740 is: 916,470.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,008 : 613,740 = 613,740 : x
  2. Step 2: Convert to fraction form
    411,008/613,740 = 613,740/x
  3. Step 3: Cross multiply
    411,008x = 613,740 × 613,740
  4. Step 4: Simplify right side
    411,008x = 376,676,787,600
  5. Step 5: Solve for x
    x = 376,676,787,600/411,008
  6. Step 6: Final answer
    x = 916,470.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.