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Finding the Third Proportional to 443,715 and 634,517

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Solution

The third proportional to 443,715 and 634,517 is: 907,365.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,715 : 634,517 = 634,517 : x
  2. Step 2: Convert to fraction form
    443,715/634,517 = 634,517/x
  3. Step 3: Cross multiply
    443,715x = 634,517 × 634,517
  4. Step 4: Simplify right side
    443,715x = 402,611,823,289
  5. Step 5: Solve for x
    x = 402,611,823,289/443,715
  6. Step 6: Final answer
    x = 907,365.82

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.