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Finding the Third Proportional to 163,612 and 252,888

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Solution

The third proportional to 163,612 and 252,888 is: 390,878.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,612 : 252,888 = 252,888 : x
  2. Step 2: Convert to fraction form
    163,612/252,888 = 252,888/x
  3. Step 3: Cross multiply
    163,612x = 252,888 × 252,888
  4. Step 4: Simplify right side
    163,612x = 63,952,340,544
  5. Step 5: Solve for x
    x = 63,952,340,544/163,612
  6. Step 6: Final answer
    x = 390,878.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.