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Finding the Third Proportional to 190,716 and 280,239

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Solution

The third proportional to 190,716 and 280,239 is: 411,784.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,716 : 280,239 = 280,239 : x
  2. Step 2: Convert to fraction form
    190,716/280,239 = 280,239/x
  3. Step 3: Cross multiply
    190,716x = 280,239 × 280,239
  4. Step 4: Simplify right side
    190,716x = 78,533,897,121
  5. Step 5: Solve for x
    x = 78,533,897,121/190,716
  6. Step 6: Final answer
    x = 411,784.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.