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Finding the Third Proportional to 219,410,036 and 456,980,506

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Solution

The third proportional to 219,410,036 and 456,980,506 is: 951,785,007.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,410,036 : 456,980,506 = 456,980,506 : x
  2. Step 2: Convert to fraction form
    219,410,036/456,980,506 = 456,980,506/x
  3. Step 3: Cross multiply
    219,410,036x = 456,980,506 × 456,980,506
  4. Step 4: Simplify right side
    219,410,036x = 208,831,182,864,016,032
  5. Step 5: Solve for x
    x = 208,831,182,864,016,032/219,410,036
  6. Step 6: Final answer
    x = 951,785,007.97

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.