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Finding the Third Proportional to 363,739 and 790,430

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Solution

The third proportional to 363,739 and 790,430 is: 1,717,659.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,739 : 790,430 = 790,430 : x
  2. Step 2: Convert to fraction form
    363,739/790,430 = 790,430/x
  3. Step 3: Cross multiply
    363,739x = 790,430 × 790,430
  4. Step 4: Simplify right side
    363,739x = 624,779,584,900
  5. Step 5: Solve for x
    x = 624,779,584,900/363,739
  6. Step 6: Final answer
    x = 1,717,659.05

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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.