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Finding the Third Proportional to 356,618 and 783,212

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Solution

The third proportional to 356,618 and 783,212 is: 1,720,106.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,618 : 783,212 = 783,212 : x
  2. Step 2: Convert to fraction form
    356,618/783,212 = 783,212/x
  3. Step 3: Cross multiply
    356,618x = 783,212 × 783,212
  4. Step 4: Simplify right side
    356,618x = 613,421,036,944
  5. Step 5: Solve for x
    x = 613,421,036,944/356,618
  6. Step 6: Final answer
    x = 1,720,106.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.