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Finding the Third Proportional to 212,368.50 and 456,219

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Solution

The third proportional to 212,368.50 and 456,219 is: 980,068.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,368.50 : 456,219 = 456,219 : x
  2. Step 2: Convert to fraction form
    212,368.50/456,219 = 456,219/x
  3. Step 3: Cross multiply
    212,368.50x = 456,219 × 456,219
  4. Step 4: Simplify right side
    212,368.50x = 208,135,775,961
  5. Step 5: Solve for x
    x = 208,135,775,961/212,368.50
  6. Step 6: Final answer
    x = 980,068.96

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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.