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Finding the Third Proportional to 212,078.25 and 456,657.75

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Solution

The third proportional to 212,078.25 and 456,657.75 is: 983,298.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,078.25 : 456,657.75 = 456,657.75 : x
  2. Step 2: Convert to fraction form
    212,078.25/456,657.75 = 456,657.75/x
  3. Step 3: Cross multiply
    212,078.25x = 456,657.75 × 456,657.75
  4. Step 4: Simplify right side
    212,078.25x = 208,536,300,635.06
  5. Step 5: Solve for x
    x = 208,536,300,635.06/212,078.25
  6. Step 6: Final answer
    x = 983,298.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.