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Finding the Third Proportional to 103,645 and 278,899

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Solution

The third proportional to 103,645 and 278,899 is: 750,491.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,645 : 278,899 = 278,899 : x
  2. Step 2: Convert to fraction form
    103,645/278,899 = 278,899/x
  3. Step 3: Cross multiply
    103,645x = 278,899 × 278,899
  4. Step 4: Simplify right side
    103,645x = 77,784,652,201
  5. Step 5: Solve for x
    x = 77,784,652,201/103,645
  6. Step 6: Final answer
    x = 750,491.12

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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.