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Finding the Third Proportional to 212,100.75 and 438,970.50

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Solution

The third proportional to 212,100.75 and 438,970.50 is: 908,507.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,100.75 : 438,970.50 = 438,970.50 : x
  2. Step 2: Convert to fraction form
    212,100.75/438,970.50 = 438,970.50/x
  3. Step 3: Cross multiply
    212,100.75x = 438,970.50 × 438,970.50
  4. Step 4: Simplify right side
    212,100.75x = 192,695,099,870.25
  5. Step 5: Solve for x
    x = 192,695,099,870.25/212,100.75
  6. Step 6: Final answer
    x = 908,507.40

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.