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Finding the Third Proportional to 628,020 and 1,361,340

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Solution

The third proportional to 628,020 and 1,361,340 is: 2,950,935.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,020 : 1,361,340 = 1,361,340 : x
  2. Step 2: Convert to fraction form
    628,020/1,361,340 = 1,361,340/x
  3. Step 3: Cross multiply
    628,020x = 1,361,340 × 1,361,340
  4. Step 4: Simplify right side
    628,020x = 1,853,246,595,600
  5. Step 5: Solve for x
    x = 1,853,246,595,600/628,020
  6. Step 6: Final answer
    x = 2,950,935.63

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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.