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Finding the Third Proportional to 262,467 and 407,188.50

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Solution

The third proportional to 262,467 and 407,188.50 is: 631,707.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,467 : 407,188.50 = 407,188.50 : x
  2. Step 2: Convert to fraction form
    262,467/407,188.50 = 407,188.50/x
  3. Step 3: Cross multiply
    262,467x = 407,188.50 × 407,188.50
  4. Step 4: Simplify right side
    262,467x = 165,802,474,532.25
  5. Step 5: Solve for x
    x = 165,802,474,532.25/262,467
  6. Step 6: Final answer
    x = 631,707.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.