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Finding the Third Proportional to 1,311,655.50 and 1,929,975.75

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Solution

The third proportional to 1,311,655.50 and 1,929,975.75 is: 2,839,774.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311,655.50 : 1,929,975.75 = 1,929,975.75 : x
  2. Step 2: Convert to fraction form
    1,311,655.50/1,929,975.75 = 1,929,975.75/x
  3. Step 3: Cross multiply
    1,311,655.50x = 1,929,975.75 × 1,929,975.75
  4. Step 4: Simplify right side
    1,311,655.50x = 3,724,806,395,588.06
  5. Step 5: Solve for x
    x = 3,724,806,395,588.06/1,311,655.50
  6. Step 6: Final answer
    x = 2,839,774.92

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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.