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Finding the Third Proportional to 64,905 and 139,505

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Solution

The third proportional to 64,905 and 139,505 is: 299,848.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,905 : 139,505 = 139,505 : x
  2. Step 2: Convert to fraction form
    64,905/139,505 = 139,505/x
  3. Step 3: Cross multiply
    64,905x = 139,505 × 139,505
  4. Step 4: Simplify right side
    64,905x = 19,461,645,025
  5. Step 5: Solve for x
    x = 19,461,645,025/64,905
  6. Step 6: Final answer
    x = 299,848.16

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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.