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Finding the Third Proportional to 100,628 and 215,346.25

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Solution

The third proportional to 100,628 and 215,346.25 is: 460,845.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,628 : 215,346.25 = 215,346.25 : x
  2. Step 2: Convert to fraction form
    100,628/215,346.25 = 215,346.25/x
  3. Step 3: Cross multiply
    100,628x = 215,346.25 × 215,346.25
  4. Step 4: Simplify right side
    100,628x = 46,374,007,389.06
  5. Step 5: Solve for x
    x = 46,374,007,389.06/100,628
  6. Step 6: Final answer
    x = 460,845.96

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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.