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Finding the Third Proportional to 749,045 and 1,638,225

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Solution

The third proportional to 749,045 and 1,638,225 is: 3,582,937.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,045 : 1,638,225 = 1,638,225 : x
  2. Step 2: Convert to fraction form
    749,045/1,638,225 = 1,638,225/x
  3. Step 3: Cross multiply
    749,045x = 1,638,225 × 1,638,225
  4. Step 4: Simplify right side
    749,045x = 2,683,781,150,625
  5. Step 5: Solve for x
    x = 2,683,781,150,625/749,045
  6. Step 6: Final answer
    x = 3,582,937.14

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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.