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Finding the Third Proportional to 422,577.50 and 916,809.75

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Solution

The third proportional to 422,577.50 and 916,809.75 is: 1,989,079.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,577.50 : 916,809.75 = 916,809.75 : x
  2. Step 2: Convert to fraction form
    422,577.50/916,809.75 = 916,809.75/x
  3. Step 3: Cross multiply
    422,577.50x = 916,809.75 × 916,809.75
  4. Step 4: Simplify right side
    422,577.50x = 840,540,117,695.06
  5. Step 5: Solve for x
    x = 840,540,117,695.06/422,577.50
  6. Step 6: Final answer
    x = 1,989,079.20

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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.