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Finding the Third Proportional to 305,670 and 673,548

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Solution

The third proportional to 305,670 and 673,548 is: 1,484,172.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,670 : 673,548 = 673,548 : x
  2. Step 2: Convert to fraction form
    305,670/673,548 = 673,548/x
  3. Step 3: Cross multiply
    305,670x = 673,548 × 673,548
  4. Step 4: Simplify right side
    305,670x = 453,666,908,304
  5. Step 5: Solve for x
    x = 453,666,908,304/305,670
  6. Step 6: Final answer
    x = 1,484,172.17

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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.