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Finding the Third Proportional to 85,483,462 and 201,593,758

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Solution

The third proportional to 85,483,462 and 201,593,758 is: 475,414,101.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,483,462 : 201,593,758 = 201,593,758 : x
  2. Step 2: Convert to fraction form
    85,483,462/201,593,758 = 201,593,758/x
  3. Step 3: Cross multiply
    85,483,462x = 201,593,758 × 201,593,758
  4. Step 4: Simplify right side
    85,483,462x = 40,640,043,264,562,560
  5. Step 5: Solve for x
    x = 40,640,043,264,562,560/85,483,462
  6. Step 6: Final answer
    x = 475,414,101.32

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.