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Finding the Third Proportional to 63,543 and 84,714

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Solution

The third proportional to 63,543 and 84,714 is: 112,938.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,543 : 84,714 = 84,714 : x
  2. Step 2: Convert to fraction form
    63,543/84,714 = 84,714/x
  3. Step 3: Cross multiply
    63,543x = 84,714 × 84,714
  4. Step 4: Simplify right side
    63,543x = 7,176,461,796
  5. Step 5: Solve for x
    x = 7,176,461,796/63,543
  6. Step 6: Final answer
    x = 112,938.67

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.