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Finding the Third Proportional to 128,731 and 280,346

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Solution

The third proportional to 128,731 and 280,346 is: 610,528.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,731 : 280,346 = 280,346 : x
  2. Step 2: Convert to fraction form
    128,731/280,346 = 280,346/x
  3. Step 3: Cross multiply
    128,731x = 280,346 × 280,346
  4. Step 4: Simplify right side
    128,731x = 78,593,879,716
  5. Step 5: Solve for x
    x = 78,593,879,716/128,731
  6. Step 6: Final answer
    x = 610,528.00

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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.