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Finding the Third Proportional to 628,629 and 1,357,698

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Solution

The third proportional to 628,629 and 1,357,698 is: 2,932,323.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,629 : 1,357,698 = 1,357,698 : x
  2. Step 2: Convert to fraction form
    628,629/1,357,698 = 1,357,698/x
  3. Step 3: Cross multiply
    628,629x = 1,357,698 × 1,357,698
  4. Step 4: Simplify right side
    628,629x = 1,843,343,859,204
  5. Step 5: Solve for x
    x = 1,843,343,859,204/628,629
  6. Step 6: Final answer
    x = 2,932,323.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.