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Finding the Third Proportional to 199,804 and 417,968

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Solution

The third proportional to 199,804 and 417,968 is: 874,343.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,804 : 417,968 = 417,968 : x
  2. Step 2: Convert to fraction form
    199,804/417,968 = 417,968/x
  3. Step 3: Cross multiply
    199,804x = 417,968 × 417,968
  4. Step 4: Simplify right side
    199,804x = 174,697,249,024
  5. Step 5: Solve for x
    x = 174,697,249,024/199,804
  6. Step 6: Final answer
    x = 874,343.10

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.