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Finding the Third Proportional to 401,663,520 and 620,672,436

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Solution

The third proportional to 401,663,520 and 620,672,436 is: 959,096,989.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,663,520 : 620,672,436 = 620,672,436 : x
  2. Step 2: Convert to fraction form
    401,663,520/620,672,436 = 620,672,436/x
  3. Step 3: Cross multiply
    401,663,520x = 620,672,436 × 620,672,436
  4. Step 4: Simplify right side
    401,663,520x = 385,234,272,810,174,080
  5. Step 5: Solve for x
    x = 385,234,272,810,174,080/401,663,520
  6. Step 6: Final answer
    x = 959,096,989.47

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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.