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Finding the Third Proportional to 435,904 and 675,240

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Solution

The third proportional to 435,904 and 675,240 is: 1,045,985.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,904 : 675,240 = 675,240 : x
  2. Step 2: Convert to fraction form
    435,904/675,240 = 675,240/x
  3. Step 3: Cross multiply
    435,904x = 675,240 × 675,240
  4. Step 4: Simplify right side
    435,904x = 455,949,057,600
  5. Step 5: Solve for x
    x = 455,949,057,600/435,904
  6. Step 6: Final answer
    x = 1,045,985.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.