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Finding the Third Proportional to 969,145 and 2,130,817

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Solution

The third proportional to 969,145 and 2,130,817 is: 4,684,934.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,145 : 2,130,817 = 2,130,817 : x
  2. Step 2: Convert to fraction form
    969,145/2,130,817 = 2,130,817/x
  3. Step 3: Cross multiply
    969,145x = 2,130,817 × 2,130,817
  4. Step 4: Simplify right side
    969,145x = 4,540,381,087,489
  5. Step 5: Solve for x
    x = 4,540,381,087,489/969,145
  6. Step 6: Final answer
    x = 4,684,934.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.