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Finding the Third Proportional to 356,618 and 777,208

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Solution

The third proportional to 356,618 and 777,208 is: 1,693,835.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,618 : 777,208 = 777,208 : x
  2. Step 2: Convert to fraction form
    356,618/777,208 = 777,208/x
  3. Step 3: Cross multiply
    356,618x = 777,208 × 777,208
  4. Step 4: Simplify right side
    356,618x = 604,052,275,264
  5. Step 5: Solve for x
    x = 604,052,275,264/356,618
  6. Step 6: Final answer
    x = 1,693,835.63

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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.