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Finding the Third Proportional to 309,760 and 455,567

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Solution

The third proportional to 309,760 and 455,567 is: 670,006.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,760 : 455,567 = 455,567 : x
  2. Step 2: Convert to fraction form
    309,760/455,567 = 455,567/x
  3. Step 3: Cross multiply
    309,760x = 455,567 × 455,567
  4. Step 4: Simplify right side
    309,760x = 207,541,291,489
  5. Step 5: Solve for x
    x = 207,541,291,489/309,760
  6. Step 6: Final answer
    x = 670,006.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.