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Finding the Third Proportional to 146,240 and 221,160

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Solution

The third proportional to 146,240 and 221,160 is: 334,462.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,240 : 221,160 = 221,160 : x
  2. Step 2: Convert to fraction form
    146,240/221,160 = 221,160/x
  3. Step 3: Cross multiply
    146,240x = 221,160 × 221,160
  4. Step 4: Simplify right side
    146,240x = 48,911,745,600
  5. Step 5: Solve for x
    x = 48,911,745,600/146,240
  6. Step 6: Final answer
    x = 334,462.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.