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Finding the Third Proportional to 698,718 and 1,053,873

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Solution

The third proportional to 698,718 and 1,053,873 is: 1,589,551.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,718 : 1,053,873 = 1,053,873 : x
  2. Step 2: Convert to fraction form
    698,718/1,053,873 = 1,053,873/x
  3. Step 3: Cross multiply
    698,718x = 1,053,873 × 1,053,873
  4. Step 4: Simplify right side
    698,718x = 1,110,648,300,129
  5. Step 5: Solve for x
    x = 1,110,648,300,129/698,718
  6. Step 6: Final answer
    x = 1,589,551.58

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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.