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Finding the Third Proportional to 459,292 and 670,790

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Solution

The third proportional to 459,292 and 670,790 is: 979,680.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,292 : 670,790 = 670,790 : x
  2. Step 2: Convert to fraction form
    459,292/670,790 = 670,790/x
  3. Step 3: Cross multiply
    459,292x = 670,790 × 670,790
  4. Step 4: Simplify right side
    459,292x = 449,959,224,100
  5. Step 5: Solve for x
    x = 449,959,224,100/459,292
  6. Step 6: Final answer
    x = 979,680.08

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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.