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Finding the Third Proportional to 429,208 and 641,544

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Solution

The third proportional to 429,208 and 641,544 is: 958,925.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,208 : 641,544 = 641,544 : x
  2. Step 2: Convert to fraction form
    429,208/641,544 = 641,544/x
  3. Step 3: Cross multiply
    429,208x = 641,544 × 641,544
  4. Step 4: Simplify right side
    429,208x = 411,578,703,936
  5. Step 5: Solve for x
    x = 411,578,703,936/429,208
  6. Step 6: Final answer
    x = 958,925.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.