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Finding the Third Proportional to 459,344 and 670,872

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Solution

The third proportional to 459,344 and 670,872 is: 979,808.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,344 : 670,872 = 670,872 : x
  2. Step 2: Convert to fraction form
    459,344/670,872 = 670,872/x
  3. Step 3: Cross multiply
    459,344x = 670,872 × 670,872
  4. Step 4: Simplify right side
    459,344x = 450,069,240,384
  5. Step 5: Solve for x
    x = 450,069,240,384/459,344
  6. Step 6: Final answer
    x = 979,808.68

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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.