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Finding the Third Proportional to 401,682,913 and 620,432,372

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Solution

The third proportional to 401,682,913 and 620,432,372 is: 958,308,944.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,682,913 : 620,432,372 = 620,432,372 : x
  2. Step 2: Convert to fraction form
    401,682,913/620,432,372 = 620,432,372/x
  3. Step 3: Cross multiply
    401,682,913x = 620,432,372 × 620,432,372
  4. Step 4: Simplify right side
    401,682,913x = 384,936,328,225,546,368
  5. Step 5: Solve for x
    x = 384,936,328,225,546,368/401,682,913
  6. Step 6: Final answer
    x = 958,308,944.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.