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Finding the Third Proportional to 103,617 and 216,618

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Solution

The third proportional to 103,617 and 216,618 is: 452,853.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,617 : 216,618 = 216,618 : x
  2. Step 2: Convert to fraction form
    103,617/216,618 = 216,618/x
  3. Step 3: Cross multiply
    103,617x = 216,618 × 216,618
  4. Step 4: Simplify right side
    103,617x = 46,923,357,924
  5. Step 5: Solve for x
    x = 46,923,357,924/103,617
  6. Step 6: Final answer
    x = 452,853.86

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.