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Finding the Third Proportional to 356,962 and 776,132

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Solution

The third proportional to 356,962 and 776,132 is: 1,687,521.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,962 : 776,132 = 776,132 : x
  2. Step 2: Convert to fraction form
    356,962/776,132 = 776,132/x
  3. Step 3: Cross multiply
    356,962x = 776,132 × 776,132
  4. Step 4: Simplify right side
    356,962x = 602,380,881,424
  5. Step 5: Solve for x
    x = 602,380,881,424/356,962
  6. Step 6: Final answer
    x = 1,687,521.03

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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.