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Finding the Third Proportional to 142,774 and 220,447

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Solution

The third proportional to 142,774 and 220,447 is: 340,376.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,774 : 220,447 = 220,447 : x
  2. Step 2: Convert to fraction form
    142,774/220,447 = 220,447/x
  3. Step 3: Cross multiply
    142,774x = 220,447 × 220,447
  4. Step 4: Simplify right side
    142,774x = 48,596,879,809
  5. Step 5: Solve for x
    x = 48,596,879,809/142,774
  6. Step 6: Final answer
    x = 340,376.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.