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Finding the Third Proportional to 63,456 and 137,520

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Solution

The third proportional to 63,456 and 137,520 is: 298,029.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,456 : 137,520 = 137,520 : x
  2. Step 2: Convert to fraction form
    63,456/137,520 = 137,520/x
  3. Step 3: Cross multiply
    63,456x = 137,520 × 137,520
  4. Step 4: Simplify right side
    63,456x = 18,911,750,400
  5. Step 5: Solve for x
    x = 18,911,750,400/63,456
  6. Step 6: Final answer
    x = 298,029.35

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