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Finding the Third Proportional to 165,528 and 253,620

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Solution

The third proportional to 165,528 and 253,620 is: 388,593.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,528 : 253,620 = 253,620 : x
  2. Step 2: Convert to fraction form
    165,528/253,620 = 253,620/x
  3. Step 3: Cross multiply
    165,528x = 253,620 × 253,620
  4. Step 4: Simplify right side
    165,528x = 64,323,104,400
  5. Step 5: Solve for x
    x = 64,323,104,400/165,528
  6. Step 6: Final answer
    x = 388,593.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.