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Finding the Third Proportional to 395,078 and 627,609

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Solution

The third proportional to 395,078 and 627,609 is: 997,000.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,078 : 627,609 = 627,609 : x
  2. Step 2: Convert to fraction form
    395,078/627,609 = 627,609/x
  3. Step 3: Cross multiply
    395,078x = 627,609 × 627,609
  4. Step 4: Simplify right side
    395,078x = 393,893,056,881
  5. Step 5: Solve for x
    x = 393,893,056,881/395,078
  6. Step 6: Final answer
    x = 997,000.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.