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Finding the Third Proportional to 236,782 and 357,621

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Solution

The third proportional to 236,782 and 357,621 is: 540,128.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,782 : 357,621 = 357,621 : x
  2. Step 2: Convert to fraction form
    236,782/357,621 = 357,621/x
  3. Step 3: Cross multiply
    236,782x = 357,621 × 357,621
  4. Step 4: Simplify right side
    236,782x = 127,892,779,641
  5. Step 5: Solve for x
    x = 127,892,779,641/236,782
  6. Step 6: Final answer
    x = 540,128.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.