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Finding the Third Proportional to 670,310 and 1,581,011

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Solution

The third proportional to 670,310 and 1,581,011 is: 3,729,014.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,310 : 1,581,011 = 1,581,011 : x
  2. Step 2: Convert to fraction form
    670,310/1,581,011 = 1,581,011/x
  3. Step 3: Cross multiply
    670,310x = 1,581,011 × 1,581,011
  4. Step 4: Simplify right side
    670,310x = 2,499,595,782,121
  5. Step 5: Solve for x
    x = 2,499,595,782,121/670,310
  6. Step 6: Final answer
    x = 3,729,014.61

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.