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Finding the Third Proportional to 309,786 and 485,358

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Solution

The third proportional to 309,786 and 485,358 is: 760,435.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,786 : 485,358 = 485,358 : x
  2. Step 2: Convert to fraction form
    309,786/485,358 = 485,358/x
  3. Step 3: Cross multiply
    309,786x = 485,358 × 485,358
  4. Step 4: Simplify right side
    309,786x = 235,572,388,164
  5. Step 5: Solve for x
    x = 235,572,388,164/309,786
  6. Step 6: Final answer
    x = 760,435.88

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.