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Finding the Third Proportional to 642,993 and 1,358,886

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Solution

The third proportional to 642,993 and 1,358,886 is: 2,871,837.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,993 : 1,358,886 = 1,358,886 : x
  2. Step 2: Convert to fraction form
    642,993/1,358,886 = 1,358,886/x
  3. Step 3: Cross multiply
    642,993x = 1,358,886 × 1,358,886
  4. Step 4: Simplify right side
    642,993x = 1,846,571,160,996
  5. Step 5: Solve for x
    x = 1,846,571,160,996/642,993
  6. Step 6: Final answer
    x = 2,871,837.11

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.