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Finding the Third Proportional to 366,424 and 807,389

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Solution

The third proportional to 366,424 and 807,389 is: 1,779,023.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,424 : 807,389 = 807,389 : x
  2. Step 2: Convert to fraction form
    366,424/807,389 = 807,389/x
  3. Step 3: Cross multiply
    366,424x = 807,389 × 807,389
  4. Step 4: Simplify right side
    366,424x = 651,876,997,321
  5. Step 5: Solve for x
    x = 651,876,997,321/366,424
  6. Step 6: Final answer
    x = 1,779,023.75

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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.