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Finding the Third Proportional to 69,292 and 145,550

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Solution

The third proportional to 69,292 and 145,550 is: 305,732.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,292 : 145,550 = 145,550 : x
  2. Step 2: Convert to fraction form
    69,292/145,550 = 145,550/x
  3. Step 3: Cross multiply
    69,292x = 145,550 × 145,550
  4. Step 4: Simplify right side
    69,292x = 21,184,802,500
  5. Step 5: Solve for x
    x = 21,184,802,500/69,292
  6. Step 6: Final answer
    x = 305,732.30

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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.