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Finding the Third Proportional to 275,458 and 425,641

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Solution

The third proportional to 275,458 and 425,641 is: 657,705.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,458 : 425,641 = 425,641 : x
  2. Step 2: Convert to fraction form
    275,458/425,641 = 425,641/x
  3. Step 3: Cross multiply
    275,458x = 425,641 × 425,641
  4. Step 4: Simplify right side
    275,458x = 181,170,260,881
  5. Step 5: Solve for x
    x = 181,170,260,881/275,458
  6. Step 6: Final answer
    x = 657,705.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.