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Finding the Third Proportional to 258,282 and 407,232

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Solution

The third proportional to 258,282 and 407,232 is: 642,080.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,282 : 407,232 = 407,232 : x
  2. Step 2: Convert to fraction form
    258,282/407,232 = 407,232/x
  3. Step 3: Cross multiply
    258,282x = 407,232 × 407,232
  4. Step 4: Simplify right side
    258,282x = 165,837,901,824
  5. Step 5: Solve for x
    x = 165,837,901,824/258,282
  6. Step 6: Final answer
    x = 642,080.76

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.