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Finding the Third Proportional to 277,690,806 and 578,365,918

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Solution

The third proportional to 277,690,806 and 578,365,918 is: 1,204,602,845.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,690,806 : 578,365,918 = 578,365,918 : x
  2. Step 2: Convert to fraction form
    277,690,806/578,365,918 = 578,365,918/x
  3. Step 3: Cross multiply
    277,690,806x = 578,365,918 × 578,365,918
  4. Step 4: Simplify right side
    277,690,806x = 334,507,135,103,982,720
  5. Step 5: Solve for x
    x = 334,507,135,103,982,720/277,690,806
  6. Step 6: Final answer
    x = 1,204,602,845.60

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.