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Finding the Third Proportional to 212,123,323.13 and 456,665,630.63

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Solution

The third proportional to 212,123,323.13 and 456,665,630.63 is: 983,123,850.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,123,323.13 : 456,665,630.63 = 456,665,630.63 : x
  2. Step 2: Convert to fraction form
    212,123,323.13/456,665,630.63 = 456,665,630.63/x
  3. Step 3: Cross multiply
    212,123,323.13x = 456,665,630.63 × 456,665,630.63
  4. Step 4: Simplify right side
    212,123,323.13x = 208,543,498,194,128,928
  5. Step 5: Solve for x
    x = 208,543,498,194,128,928/212,123,323.13
  6. Step 6: Final answer
    x = 983,123,850.42

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