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Finding the Third Proportional to 683,638.31 and 1,490,288.63

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Solution

The third proportional to 683,638.31 and 1,490,288.63 is: 3,248,735.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,638.31 : 1,490,288.63 = 1,490,288.63 : x
  2. Step 2: Convert to fraction form
    683,638.31/1,490,288.63 = 1,490,288.63/x
  3. Step 3: Cross multiply
    683,638.31x = 1,490,288.63 × 1,490,288.63
  4. Step 4: Simplify right side
    683,638.31x = 2,220,960,185,804.39
  5. Step 5: Solve for x
    x = 2,220,960,185,804.39/683,638.31
  6. Step 6: Final answer
    x = 3,248,735.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.