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Finding the Third Proportional to 356,956 and 776,119

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Solution

The third proportional to 356,956 and 776,119 is: 1,687,492.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,956 : 776,119 = 776,119 : x
  2. Step 2: Convert to fraction form
    356,956/776,119 = 776,119/x
  3. Step 3: Cross multiply
    356,956x = 776,119 × 776,119
  4. Step 4: Simplify right side
    356,956x = 602,360,702,161
  5. Step 5: Solve for x
    x = 602,360,702,161/356,956
  6. Step 6: Final answer
    x = 1,687,492.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.