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Finding the Third Proportional to 642,314 and 1,399,020

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Solution

The third proportional to 642,314 and 1,399,020 is: 3,047,196.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,314 : 1,399,020 = 1,399,020 : x
  2. Step 2: Convert to fraction form
    642,314/1,399,020 = 1,399,020/x
  3. Step 3: Cross multiply
    642,314x = 1,399,020 × 1,399,020
  4. Step 4: Simplify right side
    642,314x = 1,957,256,960,400
  5. Step 5: Solve for x
    x = 1,957,256,960,400/642,314
  6. Step 6: Final answer
    x = 3,047,196.48

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.