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Finding the Third Proportional to 689,424 and 1,441,312

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Solution

The third proportional to 689,424 and 1,441,312 is: 3,013,211.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,424 : 1,441,312 = 1,441,312 : x
  2. Step 2: Convert to fraction form
    689,424/1,441,312 = 1,441,312/x
  3. Step 3: Cross multiply
    689,424x = 1,441,312 × 1,441,312
  4. Step 4: Simplify right side
    689,424x = 2,077,380,281,344
  5. Step 5: Solve for x
    x = 2,077,380,281,344/689,424
  6. Step 6: Final answer
    x = 3,013,211.44

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.