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Finding the Third Proportional to 459,342 and 670,869

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Solution

The third proportional to 459,342 and 670,869 is: 979,804.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,342 : 670,869 = 670,869 : x
  2. Step 2: Convert to fraction form
    459,342/670,869 = 670,869/x
  3. Step 3: Cross multiply
    459,342x = 670,869 × 670,869
  4. Step 4: Simplify right side
    459,342x = 450,065,215,161
  5. Step 5: Solve for x
    x = 450,065,215,161/459,342
  6. Step 6: Final answer
    x = 979,804.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.