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Finding the Third Proportional to 360,410 and 792,764.50

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Solution

The third proportional to 360,410 and 792,764.50 is: 1,743,779.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,410 : 792,764.50 = 792,764.50 : x
  2. Step 2: Convert to fraction form
    360,410/792,764.50 = 792,764.50/x
  3. Step 3: Cross multiply
    360,410x = 792,764.50 × 792,764.50
  4. Step 4: Simplify right side
    360,410x = 628,475,552,460.25
  5. Step 5: Solve for x
    x = 628,475,552,460.25/360,410
  6. Step 6: Final answer
    x = 1,743,779.45

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.