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Finding the Third Proportional to 382,642 and 834,178

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Solution

The third proportional to 382,642 and 834,178 is: 1,818,548.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,642 : 834,178 = 834,178 : x
  2. Step 2: Convert to fraction form
    382,642/834,178 = 834,178/x
  3. Step 3: Cross multiply
    382,642x = 834,178 × 834,178
  4. Step 4: Simplify right side
    382,642x = 695,852,935,684
  5. Step 5: Solve for x
    x = 695,852,935,684/382,642
  6. Step 6: Final answer
    x = 1,818,548.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.