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Finding the Third Proportional to 262,648 and 407,472

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Solution

The third proportional to 262,648 and 407,472 is: 632,151.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,648 : 407,472 = 407,472 : x
  2. Step 2: Convert to fraction form
    262,648/407,472 = 407,472/x
  3. Step 3: Cross multiply
    262,648x = 407,472 × 407,472
  4. Step 4: Simplify right side
    262,648x = 166,033,430,784
  5. Step 5: Solve for x
    x = 166,033,430,784/262,648
  6. Step 6: Final answer
    x = 632,151.89

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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.