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Finding the Third Proportional to 28,911 and 63,113

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Solution

The third proportional to 28,911 and 63,113 is: 137,776.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,911 : 63,113 = 63,113 : x
  2. Step 2: Convert to fraction form
    28,911/63,113 = 63,113/x
  3. Step 3: Cross multiply
    28,911x = 63,113 × 63,113
  4. Step 4: Simplify right side
    28,911x = 3,983,250,769
  5. Step 5: Solve for x
    x = 3,983,250,769/28,911
  6. Step 6: Final answer
    x = 137,776.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.