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Finding the Third Proportional to 430,824 and 905,736

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Solution

The third proportional to 430,824 and 905,736 is: 1,904,159.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,824 : 905,736 = 905,736 : x
  2. Step 2: Convert to fraction form
    430,824/905,736 = 905,736/x
  3. Step 3: Cross multiply
    430,824x = 905,736 × 905,736
  4. Step 4: Simplify right side
    430,824x = 820,357,701,696
  5. Step 5: Solve for x
    x = 820,357,701,696/430,824
  6. Step 6: Final answer
    x = 1,904,159.71

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.