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Finding the Third Proportional to 64,729 and 86,928

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Solution

The third proportional to 64,729 and 86,928 is: 116,740.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,729 : 86,928 = 86,928 : x
  2. Step 2: Convert to fraction form
    64,729/86,928 = 86,928/x
  3. Step 3: Cross multiply
    64,729x = 86,928 × 86,928
  4. Step 4: Simplify right side
    64,729x = 7,556,477,184
  5. Step 5: Solve for x
    x = 7,556,477,184/64,729
  6. Step 6: Final answer
    x = 116,740.21

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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.