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Finding the Third Proportional to 143,779 and 302,430

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Solution

The third proportional to 143,779 and 302,430 is: 636,142.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,779 : 302,430 = 302,430 : x
  2. Step 2: Convert to fraction form
    143,779/302,430 = 302,430/x
  3. Step 3: Cross multiply
    143,779x = 302,430 × 302,430
  4. Step 4: Simplify right side
    143,779x = 91,463,904,900
  5. Step 5: Solve for x
    x = 91,463,904,900/143,779
  6. Step 6: Final answer
    x = 636,142.31

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.