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Finding the Third Proportional to 64,592 and 139,080

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Solution

The third proportional to 64,592 and 139,080 is: 299,468.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,592 : 139,080 = 139,080 : x
  2. Step 2: Convert to fraction form
    64,592/139,080 = 139,080/x
  3. Step 3: Cross multiply
    64,592x = 139,080 × 139,080
  4. Step 4: Simplify right side
    64,592x = 19,343,246,400
  5. Step 5: Solve for x
    x = 19,343,246,400/64,592
  6. Step 6: Final answer
    x = 299,468.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.