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Finding the Third Proportional to 214,804 and 315,629

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Solution

The third proportional to 214,804 and 315,629 is: 463,779.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,804 : 315,629 = 315,629 : x
  2. Step 2: Convert to fraction form
    214,804/315,629 = 315,629/x
  3. Step 3: Cross multiply
    214,804x = 315,629 × 315,629
  4. Step 4: Simplify right side
    214,804x = 99,621,665,641
  5. Step 5: Solve for x
    x = 99,621,665,641/214,804
  6. Step 6: Final answer
    x = 463,779.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.