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Finding the Third Proportional to 1,201,489 and 1,679,761.50

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Solution

The third proportional to 1,201,489 and 1,679,761.50 is: 2,348,418.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201,489 : 1,679,761.50 = 1,679,761.50 : x
  2. Step 2: Convert to fraction form
    1,201,489/1,679,761.50 = 1,679,761.50/x
  3. Step 3: Cross multiply
    1,201,489x = 1,679,761.50 × 1,679,761.50
  4. Step 4: Simplify right side
    1,201,489x = 2,821,598,696,882.25
  5. Step 5: Solve for x
    x = 2,821,598,696,882.25/1,201,489
  6. Step 6: Final answer
    x = 2,348,418.25

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.