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Finding the Third Proportional to 133,911 and 281,618

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Solution

The third proportional to 133,911 and 281,618 is: 592,249.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,911 : 281,618 = 281,618 : x
  2. Step 2: Convert to fraction form
    133,911/281,618 = 281,618/x
  3. Step 3: Cross multiply
    133,911x = 281,618 × 281,618
  4. Step 4: Simplify right side
    133,911x = 79,308,697,924
  5. Step 5: Solve for x
    x = 79,308,697,924/133,911
  6. Step 6: Final answer
    x = 592,249.31

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.