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Finding the Third Proportional to 262,645 and 382,485

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Solution

The third proportional to 262,645 and 382,485 is: 557,005.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,645 : 382,485 = 382,485 : x
  2. Step 2: Convert to fraction form
    262,645/382,485 = 382,485/x
  3. Step 3: Cross multiply
    262,645x = 382,485 × 382,485
  4. Step 4: Simplify right side
    262,645x = 146,294,775,225
  5. Step 5: Solve for x
    x = 146,294,775,225/262,645
  6. Step 6: Final answer
    x = 557,005.75

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.