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Finding the Third Proportional to 275,317.50 and 425,528.25

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Solution

The third proportional to 275,317.50 and 425,528.25 is: 657,692.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,317.50 : 425,528.25 = 425,528.25 : x
  2. Step 2: Convert to fraction form
    275,317.50/425,528.25 = 425,528.25/x
  3. Step 3: Cross multiply
    275,317.50x = 425,528.25 × 425,528.25
  4. Step 4: Simplify right side
    275,317.50x = 181,074,291,548.06
  5. Step 5: Solve for x
    x = 181,074,291,548.06/275,317.50
  6. Step 6: Final answer
    x = 657,692.63

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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.