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Finding the Third Proportional to 234,012 and 342,240

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Solution

The third proportional to 234,012 and 342,240 is: 500,522.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,012 : 342,240 = 342,240 : x
  2. Step 2: Convert to fraction form
    234,012/342,240 = 342,240/x
  3. Step 3: Cross multiply
    234,012x = 342,240 × 342,240
  4. Step 4: Simplify right side
    234,012x = 117,128,217,600
  5. Step 5: Solve for x
    x = 117,128,217,600/234,012
  6. Step 6: Final answer
    x = 500,522.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.