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Finding the Third Proportional to 46,036 and 98,628

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Solution

The third proportional to 46,036 and 98,628 is: 211,301.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,036 : 98,628 = 98,628 : x
  2. Step 2: Convert to fraction form
    46,036/98,628 = 98,628/x
  3. Step 3: Cross multiply
    46,036x = 98,628 × 98,628
  4. Step 4: Simplify right side
    46,036x = 9,727,482,384
  5. Step 5: Solve for x
    x = 9,727,482,384/46,036
  6. Step 6: Final answer
    x = 211,301.64

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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.