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Finding the Third Proportional to 275,487.96 and 425,698.98

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Solution

The third proportional to 275,487.96 and 425,698.98 is: 657,813.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,487.96 : 425,698.98 = 425,698.98 : x
  2. Step 2: Convert to fraction form
    275,487.96/425,698.98 = 425,698.98/x
  3. Step 3: Cross multiply
    275,487.96x = 425,698.98 × 425,698.98
  4. Step 4: Simplify right side
    275,487.96x = 181,219,621,972.14
  5. Step 5: Solve for x
    x = 181,219,621,972.14/275,487.96
  6. Step 6: Final answer
    x = 657,813.22

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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.