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Finding the Third Proportional to 691,140 and 1,081,855.50

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Solution

The third proportional to 691,140 and 1,081,855.50 is: 1,693,450.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,140 : 1,081,855.50 = 1,081,855.50 : x
  2. Step 2: Convert to fraction form
    691,140/1,081,855.50 = 1,081,855.50/x
  3. Step 3: Cross multiply
    691,140x = 1,081,855.50 × 1,081,855.50
  4. Step 4: Simplify right side
    691,140x = 1,170,411,322,880.25
  5. Step 5: Solve for x
    x = 1,170,411,322,880.25/691,140
  6. Step 6: Final answer
    x = 1,693,450.42

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.