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Finding the Third Proportional to 421,690 and 670,074

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Solution

The third proportional to 421,690 and 670,074 is: 1,064,761.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,690 : 670,074 = 670,074 : x
  2. Step 2: Convert to fraction form
    421,690/670,074 = 670,074/x
  3. Step 3: Cross multiply
    421,690x = 670,074 × 670,074
  4. Step 4: Simplify right side
    421,690x = 448,999,165,476
  5. Step 5: Solve for x
    x = 448,999,165,476/421,690
  6. Step 6: Final answer
    x = 1,064,761.24

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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.