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Finding the Third Proportional to 453,640 and 988,928

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Solution

The third proportional to 453,640 and 988,928 is: 2,155,847.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,640 : 988,928 = 988,928 : x
  2. Step 2: Convert to fraction form
    453,640/988,928 = 988,928/x
  3. Step 3: Cross multiply
    453,640x = 988,928 × 988,928
  4. Step 4: Simplify right side
    453,640x = 977,978,589,184
  5. Step 5: Solve for x
    x = 977,978,589,184/453,640
  6. Step 6: Final answer
    x = 2,155,847.34

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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.