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Finding the Third Proportional to 459,338 and 670,863

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Solution

The third proportional to 459,338 and 670,863 is: 979,795.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,338 : 670,863 = 670,863 : x
  2. Step 2: Convert to fraction form
    459,338/670,863 = 670,863/x
  3. Step 3: Cross multiply
    459,338x = 670,863 × 670,863
  4. Step 4: Simplify right side
    459,338x = 450,057,164,769
  5. Step 5: Solve for x
    x = 450,057,164,769/459,338
  6. Step 6: Final answer
    x = 979,795.19

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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.