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Finding the Third Proportional to 190,740 and 280,264

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Solution

The third proportional to 190,740 and 280,264 is: 411,806.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,740 : 280,264 = 280,264 : x
  2. Step 2: Convert to fraction form
    190,740/280,264 = 280,264/x
  3. Step 3: Cross multiply
    190,740x = 280,264 × 280,264
  4. Step 4: Simplify right side
    190,740x = 78,547,909,696
  5. Step 5: Solve for x
    x = 78,547,909,696/190,740
  6. Step 6: Final answer
    x = 411,806.17

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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.