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Finding the Third Proportional to 142,746 and 222,024

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Solution

The third proportional to 142,746 and 222,024 is: 345,331.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,746 : 222,024 = 222,024 : x
  2. Step 2: Convert to fraction form
    142,746/222,024 = 222,024/x
  3. Step 3: Cross multiply
    142,746x = 222,024 × 222,024
  4. Step 4: Simplify right side
    142,746x = 49,294,656,576
  5. Step 5: Solve for x
    x = 49,294,656,576/142,746
  6. Step 6: Final answer
    x = 345,331.26

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.