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Finding the Third Proportional to 258,271 and 346,399

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Solution

The third proportional to 258,271 and 346,399 is: 464,598.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,271 : 346,399 = 346,399 : x
  2. Step 2: Convert to fraction form
    258,271/346,399 = 346,399/x
  3. Step 3: Cross multiply
    258,271x = 346,399 × 346,399
  4. Step 4: Simplify right side
    258,271x = 119,992,267,201
  5. Step 5: Solve for x
    x = 119,992,267,201/258,271
  6. Step 6: Final answer
    x = 464,598.30

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.