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Finding the Third Proportional to 306,183 and 664,854

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Solution

The third proportional to 306,183 and 664,854 is: 1,443,681.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,183 : 664,854 = 664,854 : x
  2. Step 2: Convert to fraction form
    306,183/664,854 = 664,854/x
  3. Step 3: Cross multiply
    306,183x = 664,854 × 664,854
  4. Step 4: Simplify right side
    306,183x = 442,030,841,316
  5. Step 5: Solve for x
    x = 442,030,841,316/306,183
  6. Step 6: Final answer
    x = 1,443,681.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.