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Finding the Third Proportional to 69,628 and 142,943

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Solution

The third proportional to 69,628 and 142,943 is: 293,455.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,628 : 142,943 = 142,943 : x
  2. Step 2: Convert to fraction form
    69,628/142,943 = 142,943/x
  3. Step 3: Cross multiply
    69,628x = 142,943 × 142,943
  4. Step 4: Simplify right side
    69,628x = 20,432,701,249
  5. Step 5: Solve for x
    x = 20,432,701,249/69,628
  6. Step 6: Final answer
    x = 293,455.24

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.