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Finding the Third Proportional to 490,844,410 and 781,407,279

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Solution

The third proportional to 490,844,410 and 781,407,279 is: 1,243,973,290.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,844,410 : 781,407,279 = 781,407,279 : x
  2. Step 2: Convert to fraction form
    490,844,410/781,407,279 = 781,407,279/x
  3. Step 3: Cross multiply
    490,844,410x = 781,407,279 × 781,407,279
  4. Step 4: Simplify right side
    490,844,410x = 610,597,335,674,183,808
  5. Step 5: Solve for x
    x = 610,597,335,674,183,808/490,844,410
  6. Step 6: Final answer
    x = 1,243,973,290.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.