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Finding the Third Proportional to 163,740 and 252,846

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Solution

The third proportional to 163,740 and 252,846 is: 390,442.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,740 : 252,846 = 252,846 : x
  2. Step 2: Convert to fraction form
    163,740/252,846 = 252,846/x
  3. Step 3: Cross multiply
    163,740x = 252,846 × 252,846
  4. Step 4: Simplify right side
    163,740x = 63,931,099,716
  5. Step 5: Solve for x
    x = 63,931,099,716/163,740
  6. Step 6: Final answer
    x = 390,442.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.