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Finding the Third Proportional to 427,719 and 918,618

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Solution

The third proportional to 427,719 and 918,618 is: 1,972,928.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,719 : 918,618 = 918,618 : x
  2. Step 2: Convert to fraction form
    427,719/918,618 = 918,618/x
  3. Step 3: Cross multiply
    427,719x = 918,618 × 918,618
  4. Step 4: Simplify right side
    427,719x = 843,859,029,924
  5. Step 5: Solve for x
    x = 843,859,029,924/427,719
  6. Step 6: Final answer
    x = 1,972,928.56

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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.