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Finding the Third Proportional to 152,763 and 335,618

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Solution

The third proportional to 152,763 and 335,618 is: 737,347.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,763 : 335,618 = 335,618 : x
  2. Step 2: Convert to fraction form
    152,763/335,618 = 335,618/x
  3. Step 3: Cross multiply
    152,763x = 335,618 × 335,618
  4. Step 4: Simplify right side
    152,763x = 112,639,441,924
  5. Step 5: Solve for x
    x = 112,639,441,924/152,763
  6. Step 6: Final answer
    x = 737,347.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.