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Finding the Third Proportional to 443,716 and 634,519

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Solution

The third proportional to 443,716 and 634,519 is: 907,369.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,716 : 634,519 = 634,519 : x
  2. Step 2: Convert to fraction form
    443,716/634,519 = 634,519/x
  3. Step 3: Cross multiply
    443,716x = 634,519 × 634,519
  4. Step 4: Simplify right side
    443,716x = 402,614,361,361
  5. Step 5: Solve for x
    x = 402,614,361,361/443,716
  6. Step 6: Final answer
    x = 907,369.49

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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.