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Finding the Third Proportional to 64,580 and 86,614

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Solution

The third proportional to 64,580 and 86,614 is: 116,165.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,580 : 86,614 = 86,614 : x
  2. Step 2: Convert to fraction form
    64,580/86,614 = 86,614/x
  3. Step 3: Cross multiply
    64,580x = 86,614 × 86,614
  4. Step 4: Simplify right side
    64,580x = 7,501,984,996
  5. Step 5: Solve for x
    x = 7,501,984,996/64,580
  6. Step 6: Final answer
    x = 116,165.76

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.