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Finding the Third Proportional to 476,612 and 698,878

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Solution

The third proportional to 476,612 and 698,878 is: 1,024,796.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,612 : 698,878 = 698,878 : x
  2. Step 2: Convert to fraction form
    476,612/698,878 = 698,878/x
  3. Step 3: Cross multiply
    476,612x = 698,878 × 698,878
  4. Step 4: Simplify right side
    476,612x = 488,430,458,884
  5. Step 5: Solve for x
    x = 488,430,458,884/476,612
  6. Step 6: Final answer
    x = 1,024,796.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.