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Finding the Third Proportional to 209,486.25 and 455,402.25

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Solution

The third proportional to 209,486.25 and 455,402.25 is: 989,999.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,486.25 : 455,402.25 = 455,402.25 : x
  2. Step 2: Convert to fraction form
    209,486.25/455,402.25 = 455,402.25/x
  3. Step 3: Cross multiply
    209,486.25x = 455,402.25 × 455,402.25
  4. Step 4: Simplify right side
    209,486.25x = 207,391,209,305.06
  5. Step 5: Solve for x
    x = 207,391,209,305.06/209,486.25
  6. Step 6: Final answer
    x = 989,999.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.