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Finding the Third Proportional to 236,618 and 513,159

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Solution

The third proportional to 236,618 and 513,159 is: 1,112,899.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,618 : 513,159 = 513,159 : x
  2. Step 2: Convert to fraction form
    236,618/513,159 = 513,159/x
  3. Step 3: Cross multiply
    236,618x = 513,159 × 513,159
  4. Step 4: Simplify right side
    236,618x = 263,332,159,281
  5. Step 5: Solve for x
    x = 263,332,159,281/236,618
  6. Step 6: Final answer
    x = 1,112,899.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.