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Finding the Third Proportional to 64,957 and 139,582

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Solution

The third proportional to 64,957 and 139,582 is: 299,938.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,957 : 139,582 = 139,582 : x
  2. Step 2: Convert to fraction form
    64,957/139,582 = 139,582/x
  3. Step 3: Cross multiply
    64,957x = 139,582 × 139,582
  4. Step 4: Simplify right side
    64,957x = 19,483,134,724
  5. Step 5: Solve for x
    x = 19,483,134,724/64,957
  6. Step 6: Final answer
    x = 299,938.96

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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.