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Finding the Third Proportional to 163,786 and 357,218

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Solution

The third proportional to 163,786 and 357,218 is: 779,094.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,786 : 357,218 = 357,218 : x
  2. Step 2: Convert to fraction form
    163,786/357,218 = 357,218/x
  3. Step 3: Cross multiply
    163,786x = 357,218 × 357,218
  4. Step 4: Simplify right side
    163,786x = 127,604,699,524
  5. Step 5: Solve for x
    x = 127,604,699,524/163,786
  6. Step 6: Final answer
    x = 779,094.06

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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.