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Finding the Third Proportional to 680,622.75 and 860,144.06

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Solution

The third proportional to 680,622.75 and 860,144.06 is: 1,087,015.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,622.75 : 860,144.06 = 860,144.06 : x
  2. Step 2: Convert to fraction form
    680,622.75/860,144.06 = 860,144.06/x
  3. Step 3: Cross multiply
    680,622.75x = 860,144.06 × 860,144.06
  4. Step 4: Simplify right side
    680,622.75x = 739,847,808,254.00
  5. Step 5: Solve for x
    x = 739,847,808,254.00/680,622.75
  6. Step 6: Final answer
    x = 1,087,015.98

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.