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Finding the Third Proportional to 740,911.50 and 1,178,232.75

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Solution

The third proportional to 740,911.50 and 1,178,232.75 is: 1,873,681.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,911.50 : 1,178,232.75 = 1,178,232.75 : x
  2. Step 2: Convert to fraction form
    740,911.50/1,178,232.75 = 1,178,232.75/x
  3. Step 3: Cross multiply
    740,911.50x = 1,178,232.75 × 1,178,232.75
  4. Step 4: Simplify right side
    740,911.50x = 1,388,232,413,172.56
  5. Step 5: Solve for x
    x = 1,388,232,413,172.56/740,911.50
  6. Step 6: Final answer
    x = 1,873,681.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.