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Finding the Third Proportional to 190,070 and 410,272

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Solution

The third proportional to 190,070 and 410,272 is: 885,584.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,070 : 410,272 = 410,272 : x
  2. Step 2: Convert to fraction form
    190,070/410,272 = 410,272/x
  3. Step 3: Cross multiply
    190,070x = 410,272 × 410,272
  4. Step 4: Simplify right side
    190,070x = 168,323,113,984
  5. Step 5: Solve for x
    x = 168,323,113,984/190,070
  6. Step 6: Final answer
    x = 885,584.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.