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Finding the Third Proportional to 69,309 and 145,863

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Solution

The third proportional to 69,309 and 145,863 is: 306,973.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,309 : 145,863 = 145,863 : x
  2. Step 2: Convert to fraction form
    69,309/145,863 = 145,863/x
  3. Step 3: Cross multiply
    69,309x = 145,863 × 145,863
  4. Step 4: Simplify right side
    69,309x = 21,276,014,769
  5. Step 5: Solve for x
    x = 21,276,014,769/69,309
  6. Step 6: Final answer
    x = 306,973.33

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.