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Finding the Third Proportional to 401,665,213 and 620,674,604

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Solution

The third proportional to 401,665,213 and 620,674,604 is: 959,099,647.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,665,213 : 620,674,604 = 620,674,604 : x
  2. Step 2: Convert to fraction form
    401,665,213/620,674,604 = 620,674,604/x
  3. Step 3: Cross multiply
    401,665,213x = 620,674,604 × 620,674,604
  4. Step 4: Simplify right side
    401,665,213x = 385,236,964,050,556,800
  5. Step 5: Solve for x
    x = 385,236,964,050,556,800/401,665,213
  6. Step 6: Final answer
    x = 959,099,647.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.