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Finding the Third Proportional to 275,590.50 and 425,869.50

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Solution

The third proportional to 275,590.50 and 425,869.50 is: 658,095.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,590.50 : 425,869.50 = 425,869.50 : x
  2. Step 2: Convert to fraction form
    275,590.50/425,869.50 = 425,869.50/x
  3. Step 3: Cross multiply
    275,590.50x = 425,869.50 × 425,869.50
  4. Step 4: Simplify right side
    275,590.50x = 181,364,831,030.25
  5. Step 5: Solve for x
    x = 181,364,831,030.25/275,590.50
  6. Step 6: Final answer
    x = 658,095.37

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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.