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Finding the Third Proportional to 64,740 and 138,475

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Solution

The third proportional to 64,740 and 138,475 is: 296,189.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,740 : 138,475 = 138,475 : x
  2. Step 2: Convert to fraction form
    64,740/138,475 = 138,475/x
  3. Step 3: Cross multiply
    64,740x = 138,475 × 138,475
  4. Step 4: Simplify right side
    64,740x = 19,175,325,625
  5. Step 5: Solve for x
    x = 19,175,325,625/64,740
  6. Step 6: Final answer
    x = 296,189.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.