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Finding the Third Proportional to 485,344 and 734,804

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Solution

The third proportional to 485,344 and 734,804 is: 1,112,482.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,344 : 734,804 = 734,804 : x
  2. Step 2: Convert to fraction form
    485,344/734,804 = 734,804/x
  3. Step 3: Cross multiply
    485,344x = 734,804 × 734,804
  4. Step 4: Simplify right side
    485,344x = 539,936,918,416
  5. Step 5: Solve for x
    x = 539,936,918,416/485,344
  6. Step 6: Final answer
    x = 1,112,482.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.