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Finding the Third Proportional to 296,065.13 and 638,672.34

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Solution

The third proportional to 296,065.13 and 638,672.34 is: 1,377,745.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,065.13 : 638,672.34 = 638,672.34 : x
  2. Step 2: Convert to fraction form
    296,065.13/638,672.34 = 638,672.34/x
  3. Step 3: Cross multiply
    296,065.13x = 638,672.34 × 638,672.34
  4. Step 4: Simplify right side
    296,065.13x = 407,902,362,671.12
  5. Step 5: Solve for x
    x = 407,902,362,671.12/296,065.13
  6. Step 6: Final answer
    x = 1,377,745.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.