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Finding the Third Proportional to 404,509.75 and 628,078.50

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Solution

The third proportional to 404,509.75 and 628,078.50 is: 975,211.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,509.75 : 628,078.50 = 628,078.50 : x
  2. Step 2: Convert to fraction form
    404,509.75/628,078.50 = 628,078.50/x
  3. Step 3: Cross multiply
    404,509.75x = 628,078.50 × 628,078.50
  4. Step 4: Simplify right side
    404,509.75x = 394,482,602,162.25
  5. Step 5: Solve for x
    x = 394,482,602,162.25/404,509.75
  6. Step 6: Final answer
    x = 975,211.60

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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.