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Finding the Third Proportional to 296,312 and 638,956

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Solution

The third proportional to 296,312 and 638,956 is: 1,377,820.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,312 : 638,956 = 638,956 : x
  2. Step 2: Convert to fraction form
    296,312/638,956 = 638,956/x
  3. Step 3: Cross multiply
    296,312x = 638,956 × 638,956
  4. Step 4: Simplify right side
    296,312x = 408,264,769,936
  5. Step 5: Solve for x
    x = 408,264,769,936/296,312
  6. Step 6: Final answer
    x = 1,377,820.57

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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.