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Finding the Third Proportional to 163,740 and 253,602

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Solution

The third proportional to 163,740 and 253,602 is: 392,781.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,740 : 253,602 = 253,602 : x
  2. Step 2: Convert to fraction form
    163,740/253,602 = 253,602/x
  3. Step 3: Cross multiply
    163,740x = 253,602 × 253,602
  4. Step 4: Simplify right side
    163,740x = 64,313,974,404
  5. Step 5: Solve for x
    x = 64,313,974,404/163,740
  6. Step 6: Final answer
    x = 392,781.08

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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.