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Finding the Third Proportional to 209,707.50 and 456,279

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Solution

The third proportional to 209,707.50 and 456,279 is: 992,766.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,707.50 : 456,279 = 456,279 : x
  2. Step 2: Convert to fraction form
    209,707.50/456,279 = 456,279/x
  3. Step 3: Cross multiply
    209,707.50x = 456,279 × 456,279
  4. Step 4: Simplify right side
    209,707.50x = 208,190,525,841
  5. Step 5: Solve for x
    x = 208,190,525,841/209,707.50
  6. Step 6: Final answer
    x = 992,766.24

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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.