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Finding the Third Proportional to 356,966 and 776,140

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Solution

The third proportional to 356,966 and 776,140 is: 1,687,536.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,966 : 776,140 = 776,140 : x
  2. Step 2: Convert to fraction form
    356,966/776,140 = 776,140/x
  3. Step 3: Cross multiply
    356,966x = 776,140 × 776,140
  4. Step 4: Simplify right side
    356,966x = 602,393,299,600
  5. Step 5: Solve for x
    x = 602,393,299,600/356,966
  6. Step 6: Final answer
    x = 1,687,536.91

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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.