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Finding the Third Proportional to 553,380 and 846,128.25

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Solution

The third proportional to 553,380 and 846,128.25 is: 1,293,745.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,380 : 846,128.25 = 846,128.25 : x
  2. Step 2: Convert to fraction form
    553,380/846,128.25 = 846,128.25/x
  3. Step 3: Cross multiply
    553,380x = 846,128.25 × 846,128.25
  4. Step 4: Simplify right side
    553,380x = 715,933,015,448.06
  5. Step 5: Solve for x
    x = 715,933,015,448.06/553,380
  6. Step 6: Final answer
    x = 1,293,745.74

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.