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Finding the Third Proportional to 163,476 and 344,448

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Solution

The third proportional to 163,476 and 344,448 is: 725,760.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,476 : 344,448 = 344,448 : x
  2. Step 2: Convert to fraction form
    163,476/344,448 = 344,448/x
  3. Step 3: Cross multiply
    163,476x = 344,448 × 344,448
  4. Step 4: Simplify right side
    163,476x = 118,644,424,704
  5. Step 5: Solve for x
    x = 118,644,424,704/163,476
  6. Step 6: Final answer
    x = 725,760.51

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.