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Finding the Third Proportional to 236,434 and 361,721

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Solution

The third proportional to 236,434 and 361,721 is: 553,397.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,434 : 361,721 = 361,721 : x
  2. Step 2: Convert to fraction form
    236,434/361,721 = 361,721/x
  3. Step 3: Cross multiply
    236,434x = 361,721 × 361,721
  4. Step 4: Simplify right side
    236,434x = 130,842,081,841
  5. Step 5: Solve for x
    x = 130,842,081,841/236,434
  6. Step 6: Final answer
    x = 553,397.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.