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Finding the Third Proportional to 821,257,512 and 1,710,447,456

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Solution

The third proportional to 821,257,512 and 1,710,447,456 is: 3,562,378,982.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,257,512 : 1,710,447,456 = 1,710,447,456 : x
  2. Step 2: Convert to fraction form
    821,257,512/1,710,447,456 = 1,710,447,456/x
  3. Step 3: Cross multiply
    821,257,512x = 1,710,447,456 × 1,710,447,456
  4. Step 4: Simplify right side
    821,257,512x = 2,925,630,499,736,871,936
  5. Step 5: Solve for x
    x = 2,925,630,499,736,871,936/821,257,512
  6. Step 6: Final answer
    x = 3,562,378,982.22

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Why These Related Problems?

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