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Finding the Third Proportional to 744,196 and 1,188,102

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Solution

The third proportional to 744,196 and 1,188,102 is: 1,896,793.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    744,196 : 1,188,102 = 1,188,102 : x
  2. Step 2: Convert to fraction form
    744,196/1,188,102 = 1,188,102/x
  3. Step 3: Cross multiply
    744,196x = 1,188,102 × 1,188,102
  4. Step 4: Simplify right side
    744,196x = 1,411,586,362,404
  5. Step 5: Solve for x
    x = 1,411,586,362,404/744,196
  6. Step 6: Final answer
    x = 1,896,793.80

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.