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Finding the Third Proportional to 322,458 and 483,631.50

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Solution

The third proportional to 322,458 and 483,631.50 is: 725,364.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,458 : 483,631.50 = 483,631.50 : x
  2. Step 2: Convert to fraction form
    322,458/483,631.50 = 483,631.50/x
  3. Step 3: Cross multiply
    322,458x = 483,631.50 × 483,631.50
  4. Step 4: Simplify right side
    322,458x = 233,899,427,792.25
  5. Step 5: Solve for x
    x = 233,899,427,792.25/322,458
  6. Step 6: Final answer
    x = 725,364.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.