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Finding the Third Proportional to 163,806 and 355,476

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Solution

The third proportional to 163,806 and 355,476 is: 771,419.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,806 : 355,476 = 355,476 : x
  2. Step 2: Convert to fraction form
    163,806/355,476 = 355,476/x
  3. Step 3: Cross multiply
    163,806x = 355,476 × 355,476
  4. Step 4: Simplify right side
    163,806x = 126,363,186,576
  5. Step 5: Solve for x
    x = 126,363,186,576/163,806
  6. Step 6: Final answer
    x = 771,419.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.