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Finding the Third Proportional to 749,113 and 1,638,135

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Solution

The third proportional to 749,113 and 1,638,135 is: 3,582,218.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,113 : 1,638,135 = 1,638,135 : x
  2. Step 2: Convert to fraction form
    749,113/1,638,135 = 1,638,135/x
  3. Step 3: Cross multiply
    749,113x = 1,638,135 × 1,638,135
  4. Step 4: Simplify right side
    749,113x = 2,683,486,278,225
  5. Step 5: Solve for x
    x = 2,683,486,278,225/749,113
  6. Step 6: Final answer
    x = 3,582,218.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.