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Finding the Third Proportional to 148,609.69 and 321,458.63

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Solution

The third proportional to 148,609.69 and 321,458.63 is: 695,349.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,609.69 : 321,458.63 = 321,458.63 : x
  2. Step 2: Convert to fraction form
    148,609.69/321,458.63 = 321,458.63/x
  3. Step 3: Cross multiply
    148,609.69x = 321,458.63 × 321,458.63
  4. Step 4: Simplify right side
    148,609.69x = 103,335,647,586.89
  5. Step 5: Solve for x
    x = 103,335,647,586.89/148,609.69
  6. Step 6: Final answer
    x = 695,349.34

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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.