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Finding the Third Proportional to 782,562 and 1,048,212

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Solution

The third proportional to 782,562 and 1,048,212 is: 1,404,040.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,562 : 1,048,212 = 1,048,212 : x
  2. Step 2: Convert to fraction form
    782,562/1,048,212 = 1,048,212/x
  3. Step 3: Cross multiply
    782,562x = 1,048,212 × 1,048,212
  4. Step 4: Simplify right side
    782,562x = 1,098,748,396,944
  5. Step 5: Solve for x
    x = 1,098,748,396,944/782,562
  6. Step 6: Final answer
    x = 1,404,040.06

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.