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Finding the Third Proportional to 553,133.25 and 834,756.75

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Solution

The third proportional to 553,133.25 and 834,756.75 is: 1,259,766.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,133.25 : 834,756.75 = 834,756.75 : x
  2. Step 2: Convert to fraction form
    553,133.25/834,756.75 = 834,756.75/x
  3. Step 3: Cross multiply
    553,133.25x = 834,756.75 × 834,756.75
  4. Step 4: Simplify right side
    553,133.25x = 696,818,831,670.56
  5. Step 5: Solve for x
    x = 696,818,831,670.56/553,133.25
  6. Step 6: Final answer
    x = 1,259,766.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.