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Finding the Third Proportional to 100,642 and 215,377

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Solution

The third proportional to 100,642 and 215,377 is: 460,913.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,642 : 215,377 = 215,377 : x
  2. Step 2: Convert to fraction form
    100,642/215,377 = 215,377/x
  3. Step 3: Cross multiply
    100,642x = 215,377 × 215,377
  4. Step 4: Simplify right side
    100,642x = 46,387,252,129
  5. Step 5: Solve for x
    x = 46,387,252,129/100,642
  6. Step 6: Final answer
    x = 460,913.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.