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Finding the Third Proportional to 828,638 and 1,254,159

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Solution

The third proportional to 828,638 and 1,254,159 is: 1,898,192.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,638 : 1,254,159 = 1,254,159 : x
  2. Step 2: Convert to fraction form
    828,638/1,254,159 = 1,254,159/x
  3. Step 3: Cross multiply
    828,638x = 1,254,159 × 1,254,159
  4. Step 4: Simplify right side
    828,638x = 1,572,914,797,281
  5. Step 5: Solve for x
    x = 1,572,914,797,281/828,638
  6. Step 6: Final answer
    x = 1,898,192.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.