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Finding the Third Proportional to 209,051.50 and 458,702

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Solution

The third proportional to 209,051.50 and 458,702 is: 1,006,486.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,051.50 : 458,702 = 458,702 : x
  2. Step 2: Convert to fraction form
    209,051.50/458,702 = 458,702/x
  3. Step 3: Cross multiply
    209,051.50x = 458,702 × 458,702
  4. Step 4: Simplify right side
    209,051.50x = 210,407,524,804
  5. Step 5: Solve for x
    x = 210,407,524,804/209,051.50
  6. Step 6: Final answer
    x = 1,006,486.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.