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Finding the Third Proportional to 28,740 and 63,069

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Solution

The third proportional to 28,740 and 63,069 is: 138,402.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,740 : 63,069 = 63,069 : x
  2. Step 2: Convert to fraction form
    28,740/63,069 = 63,069/x
  3. Step 3: Cross multiply
    28,740x = 63,069 × 63,069
  4. Step 4: Simplify right side
    28,740x = 3,977,698,761
  5. Step 5: Solve for x
    x = 3,977,698,761/28,740
  6. Step 6: Final answer
    x = 138,402.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.