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Finding the Third Proportional to 103,643.30 and 278,893.76

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Solution

The third proportional to 103,643.30 and 278,893.76 is: 750,475.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,643.30 : 278,893.76 = 278,893.76 : x
  2. Step 2: Convert to fraction form
    103,643.30/278,893.76 = 278,893.76/x
  3. Step 3: Cross multiply
    103,643.30x = 278,893.76 × 278,893.76
  4. Step 4: Simplify right side
    103,643.30x = 77,781,728,146.78
  5. Step 5: Solve for x
    x = 77,781,728,146.78/103,643.30
  6. Step 6: Final answer
    x = 750,475.24

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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.