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Finding the Third Proportional to 551,182 and 780,135

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Solution

The third proportional to 551,182 and 780,135 is: 1,104,191.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,182 : 780,135 = 780,135 : x
  2. Step 2: Convert to fraction form
    551,182/780,135 = 780,135/x
  3. Step 3: Cross multiply
    551,182x = 780,135 × 780,135
  4. Step 4: Simplify right side
    551,182x = 608,610,618,225
  5. Step 5: Solve for x
    x = 608,610,618,225/551,182
  6. Step 6: Final answer
    x = 1,104,191.75

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.