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Finding the Third Proportional to 148,580.50 and 321,377.50

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Solution

The third proportional to 148,580.50 and 321,377.50 is: 695,134.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,580.50 : 321,377.50 = 321,377.50 : x
  2. Step 2: Convert to fraction form
    148,580.50/321,377.50 = 321,377.50/x
  3. Step 3: Cross multiply
    148,580.50x = 321,377.50 × 321,377.50
  4. Step 4: Simplify right side
    148,580.50x = 103,283,497,506.25
  5. Step 5: Solve for x
    x = 103,283,497,506.25/148,580.50
  6. Step 6: Final answer
    x = 695,134.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.