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Finding the Third Proportional to 280,032.75 and 425,243.25

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Solution

The third proportional to 280,032.75 and 425,243.25 is: 645,752.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,032.75 : 425,243.25 = 425,243.25 : x
  2. Step 2: Convert to fraction form
    280,032.75/425,243.25 = 425,243.25/x
  3. Step 3: Cross multiply
    280,032.75x = 425,243.25 × 425,243.25
  4. Step 4: Simplify right side
    280,032.75x = 180,831,821,670.56
  5. Step 5: Solve for x
    x = 180,831,821,670.56/280,032.75
  6. Step 6: Final answer
    x = 645,752.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.