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Finding the Third Proportional to 262,750 and 407,619

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Solution

The third proportional to 262,750 and 407,619 is: 632,362.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,750 : 407,619 = 407,619 : x
  2. Step 2: Convert to fraction form
    262,750/407,619 = 407,619/x
  3. Step 3: Cross multiply
    262,750x = 407,619 × 407,619
  4. Step 4: Simplify right side
    262,750x = 166,153,249,161
  5. Step 5: Solve for x
    x = 166,153,249,161/262,750
  6. Step 6: Final answer
    x = 632,362.51

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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.