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Finding the Third Proportional to 309,580 and 675,536

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Solution

The third proportional to 309,580 and 675,536 is: 1,474,090.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,580 : 675,536 = 675,536 : x
  2. Step 2: Convert to fraction form
    309,580/675,536 = 675,536/x
  3. Step 3: Cross multiply
    309,580x = 675,536 × 675,536
  4. Step 4: Simplify right side
    309,580x = 456,348,887,296
  5. Step 5: Solve for x
    x = 456,348,887,296/309,580
  6. Step 6: Final answer
    x = 1,474,090.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.