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Finding the Third Proportional to 296,037 and 648,315

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Solution

The third proportional to 296,037 and 648,315 is: 1,419,796.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,037 : 648,315 = 648,315 : x
  2. Step 2: Convert to fraction form
    296,037/648,315 = 648,315/x
  3. Step 3: Cross multiply
    296,037x = 648,315 × 648,315
  4. Step 4: Simplify right side
    296,037x = 420,312,339,225
  5. Step 5: Solve for x
    x = 420,312,339,225/296,037
  6. Step 6: Final answer
    x = 1,419,796.64

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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.