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Finding the Third Proportional to 218,938 and 470,618

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Solution

The third proportional to 218,938 and 470,618 is: 1,011,616.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,938 : 470,618 = 470,618 : x
  2. Step 2: Convert to fraction form
    218,938/470,618 = 470,618/x
  3. Step 3: Cross multiply
    218,938x = 470,618 × 470,618
  4. Step 4: Simplify right side
    218,938x = 221,481,301,924
  5. Step 5: Solve for x
    x = 221,481,301,924/218,938
  6. Step 6: Final answer
    x = 1,011,616.54

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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.