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Finding the Third Proportional to 357,618 and 767,158

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Solution

The third proportional to 357,618 and 767,158 is: 1,645,698.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,618 : 767,158 = 767,158 : x
  2. Step 2: Convert to fraction form
    357,618/767,158 = 767,158/x
  3. Step 3: Cross multiply
    357,618x = 767,158 × 767,158
  4. Step 4: Simplify right side
    357,618x = 588,531,396,964
  5. Step 5: Solve for x
    x = 588,531,396,964/357,618
  6. Step 6: Final answer
    x = 1,645,698.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.