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Finding the Third Proportional to 642,863 and 1,400,017

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Solution

The third proportional to 642,863 and 1,400,017 is: 3,048,935.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,863 : 1,400,017 = 1,400,017 : x
  2. Step 2: Convert to fraction form
    642,863/1,400,017 = 1,400,017/x
  3. Step 3: Cross multiply
    642,863x = 1,400,017 × 1,400,017
  4. Step 4: Simplify right side
    642,863x = 1,960,047,600,289
  5. Step 5: Solve for x
    x = 1,960,047,600,289/642,863
  6. Step 6: Final answer
    x = 3,048,935.15

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Why These Related Problems?

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