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Finding the Third Proportional to 99,905.25 and 213,980.25

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Solution

The third proportional to 99,905.25 and 213,980.25 is: 458,309.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,905.25 : 213,980.25 = 213,980.25 : x
  2. Step 2: Convert to fraction form
    99,905.25/213,980.25 = 213,980.25/x
  3. Step 3: Cross multiply
    99,905.25x = 213,980.25 × 213,980.25
  4. Step 4: Simplify right side
    99,905.25x = 45,787,547,390.06
  5. Step 5: Solve for x
    x = 45,787,547,390.06/99,905.25
  6. Step 6: Final answer
    x = 458,309.72

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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.