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Finding the Third Proportional to 421,904.25 and 670,221

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Solution

The third proportional to 421,904.25 and 670,221 is: 1,064,687.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,904.25 : 670,221 = 670,221 : x
  2. Step 2: Convert to fraction form
    421,904.25/670,221 = 670,221/x
  3. Step 3: Cross multiply
    421,904.25x = 670,221 × 670,221
  4. Step 4: Simplify right side
    421,904.25x = 449,196,188,841
  5. Step 5: Solve for x
    x = 449,196,188,841/421,904.25
  6. Step 6: Final answer
    x = 1,064,687.52

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.