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Finding the Third Proportional to 1,284,099.75 and 1,991,071.13

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Solution

The third proportional to 1,284,099.75 and 1,991,071.13 is: 3,087,271.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284,099.75 : 1,991,071.13 = 1,991,071.13 : x
  2. Step 2: Convert to fraction form
    1,284,099.75/1,991,071.13 = 1,991,071.13/x
  3. Step 3: Cross multiply
    1,284,099.75x = 1,991,071.13 × 1,991,071.13
  4. Step 4: Simplify right side
    1,284,099.75x = 3,964,364,224,808.77
  5. Step 5: Solve for x
    x = 3,964,364,224,808.77/1,284,099.75
  6. Step 6: Final answer
    x = 3,087,271.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.