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Finding the Third Proportional to 423,746.25 and 628,288.50

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Solution

The third proportional to 423,746.25 and 628,288.50 is: 931,563.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,746.25 : 628,288.50 = 628,288.50 : x
  2. Step 2: Convert to fraction form
    423,746.25/628,288.50 = 628,288.50/x
  3. Step 3: Cross multiply
    423,746.25x = 628,288.50 × 628,288.50
  4. Step 4: Simplify right side
    423,746.25x = 394,746,439,232.25
  5. Step 5: Solve for x
    x = 394,746,439,232.25/423,746.25
  6. Step 6: Final answer
    x = 931,563.26

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.