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Finding the Third Proportional to 103,699 and 279,342

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Solution

The third proportional to 103,699 and 279,342 is: 752,485.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,699 : 279,342 = 279,342 : x
  2. Step 2: Convert to fraction form
    103,699/279,342 = 279,342/x
  3. Step 3: Cross multiply
    103,699x = 279,342 × 279,342
  4. Step 4: Simplify right side
    103,699x = 78,031,952,964
  5. Step 5: Solve for x
    x = 78,031,952,964/103,699
  6. Step 6: Final answer
    x = 752,485.11

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.