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Finding the Third Proportional to 98,400 and 215,272

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Solution

The third proportional to 98,400 and 215,272 is: 470,955.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,400 : 215,272 = 215,272 : x
  2. Step 2: Convert to fraction form
    98,400/215,272 = 215,272/x
  3. Step 3: Cross multiply
    98,400x = 215,272 × 215,272
  4. Step 4: Simplify right side
    98,400x = 46,342,033,984
  5. Step 5: Solve for x
    x = 46,342,033,984/98,400
  6. Step 6: Final answer
    x = 470,955.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.