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Finding the Third Proportional to 148,936 and 321,200

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Solution

The third proportional to 148,936 and 321,200 is: 692,709.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,936 : 321,200 = 321,200 : x
  2. Step 2: Convert to fraction form
    148,936/321,200 = 321,200/x
  3. Step 3: Cross multiply
    148,936x = 321,200 × 321,200
  4. Step 4: Simplify right side
    148,936x = 103,169,440,000
  5. Step 5: Solve for x
    x = 103,169,440,000/148,936
  6. Step 6: Final answer
    x = 692,709.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.