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Finding the Third Proportional to 304,680 and 455,670

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Solution

The third proportional to 304,680 and 455,670 is: 681,485.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,680 : 455,670 = 455,670 : x
  2. Step 2: Convert to fraction form
    304,680/455,670 = 455,670/x
  3. Step 3: Cross multiply
    304,680x = 455,670 × 455,670
  4. Step 4: Simplify right side
    304,680x = 207,635,148,900
  5. Step 5: Solve for x
    x = 207,635,148,900/304,680
  6. Step 6: Final answer
    x = 681,485.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.