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Finding the Third Proportional to 428,263,983 and 938,133,684

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Solution

The third proportional to 428,263,983 and 938,133,684 is: 2,055,028,776.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,263,983 : 938,133,684 = 938,133,684 : x
  2. Step 2: Convert to fraction form
    428,263,983/938,133,684 = 938,133,684/x
  3. Step 3: Cross multiply
    428,263,983x = 938,133,684 × 938,133,684
  4. Step 4: Simplify right side
    428,263,983x = 880,094,809,055,411,840
  5. Step 5: Solve for x
    x = 880,094,809,055,411,840/428,263,983
  6. Step 6: Final answer
    x = 2,055,028,776.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.