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Finding the Third Proportional to 683,232.50 and 1,007,184.75

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Solution

The third proportional to 683,232.50 and 1,007,184.75 is: 1,484,737.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,232.50 : 1,007,184.75 = 1,007,184.75 : x
  2. Step 2: Convert to fraction form
    683,232.50/1,007,184.75 = 1,007,184.75/x
  3. Step 3: Cross multiply
    683,232.50x = 1,007,184.75 × 1,007,184.75
  4. Step 4: Simplify right side
    683,232.50x = 1,014,421,120,632.56
  5. Step 5: Solve for x
    x = 1,014,421,120,632.56/683,232.50
  6. Step 6: Final answer
    x = 1,484,737.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.