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Finding the Third Proportional to 378,528 and 824,256

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Solution

The third proportional to 378,528 and 824,256 is: 1,794,842.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,528 : 824,256 = 824,256 : x
  2. Step 2: Convert to fraction form
    378,528/824,256 = 824,256/x
  3. Step 3: Cross multiply
    378,528x = 824,256 × 824,256
  4. Step 4: Simplify right side
    378,528x = 679,397,953,536
  5. Step 5: Solve for x
    x = 679,397,953,536/378,528
  6. Step 6: Final answer
    x = 1,794,842.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.