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Finding the Third Proportional to 421,673.63 and 670,638.38

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Solution

The third proportional to 421,673.63 and 670,638.38 is: 1,066,597.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,673.63 : 670,638.38 = 670,638.38 : x
  2. Step 2: Convert to fraction form
    421,673.63/670,638.38 = 670,638.38/x
  3. Step 3: Cross multiply
    421,673.63x = 670,638.38 × 670,638.38
  4. Step 4: Simplify right side
    421,673.63x = 449,755,830,022.64
  5. Step 5: Solve for x
    x = 449,755,830,022.64/421,673.63
  6. Step 6: Final answer
    x = 1,066,597.02

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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.