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Finding the Third Proportional to 366,421 and 807,383

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Solution

The third proportional to 366,421 and 807,383 is: 1,779,011.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,421 : 807,383 = 807,383 : x
  2. Step 2: Convert to fraction form
    366,421/807,383 = 807,383/x
  3. Step 3: Cross multiply
    366,421x = 807,383 × 807,383
  4. Step 4: Simplify right side
    366,421x = 651,867,308,689
  5. Step 5: Solve for x
    x = 651,867,308,689/366,421
  6. Step 6: Final answer
    x = 1,779,011.87

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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.