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Finding the Third Proportional to 622,889 and 822,999.50

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Solution

The third proportional to 622,889 and 822,999.50 is: 1,087,397.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,889 : 822,999.50 = 822,999.50 : x
  2. Step 2: Convert to fraction form
    622,889/822,999.50 = 822,999.50/x
  3. Step 3: Cross multiply
    622,889x = 822,999.50 × 822,999.50
  4. Step 4: Simplify right side
    622,889x = 677,328,177,000.25
  5. Step 5: Solve for x
    x = 677,328,177,000.25/622,889
  6. Step 6: Final answer
    x = 1,087,397.88

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.