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Finding the Third Proportional to 783,857 and 1,145,538

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Solution

The third proportional to 783,857 and 1,145,538 is: 1,674,102.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,857 : 1,145,538 = 1,145,538 : x
  2. Step 2: Convert to fraction form
    783,857/1,145,538 = 1,145,538/x
  3. Step 3: Cross multiply
    783,857x = 1,145,538 × 1,145,538
  4. Step 4: Simplify right side
    783,857x = 1,312,257,309,444
  5. Step 5: Solve for x
    x = 1,312,257,309,444/783,857
  6. Step 6: Final answer
    x = 1,674,102.94

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.