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Finding the Third Proportional to 618,321 and 1,342,391

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Solution

The third proportional to 618,321 and 1,342,391 is: 2,914,365.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,321 : 1,342,391 = 1,342,391 : x
  2. Step 2: Convert to fraction form
    618,321/1,342,391 = 1,342,391/x
  3. Step 3: Cross multiply
    618,321x = 1,342,391 × 1,342,391
  4. Step 4: Simplify right side
    618,321x = 1,802,013,596,881
  5. Step 5: Solve for x
    x = 1,802,013,596,881/618,321
  6. Step 6: Final answer
    x = 2,914,365.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.