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Finding the Third Proportional to 490,844,412 and 781,407,282

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Solution

The third proportional to 490,844,412 and 781,407,282 is: 1,243,973,294.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,844,412 : 781,407,282 = 781,407,282 : x
  2. Step 2: Convert to fraction form
    490,844,412/781,407,282 = 781,407,282/x
  3. Step 3: Cross multiply
    490,844,412x = 781,407,282 × 781,407,282
  4. Step 4: Simplify right side
    490,844,412x = 610,597,340,362,627,584
  5. Step 5: Solve for x
    x = 610,597,340,362,627,584/490,844,412
  6. Step 6: Final answer
    x = 1,243,973,294.66

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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.