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Finding the Third Proportional to 917,736.75 and 1,290,073.50

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Solution

The third proportional to 917,736.75 and 1,290,073.50 is: 1,813,471.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,736.75 : 1,290,073.50 = 1,290,073.50 : x
  2. Step 2: Convert to fraction form
    917,736.75/1,290,073.50 = 1,290,073.50/x
  3. Step 3: Cross multiply
    917,736.75x = 1,290,073.50 × 1,290,073.50
  4. Step 4: Simplify right side
    917,736.75x = 1,664,289,635,402.25
  5. Step 5: Solve for x
    x = 1,664,289,635,402.25/917,736.75
  6. Step 6: Final answer
    x = 1,813,471.71

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.