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Finding the Third Proportional to 64,174 and 139,537

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Solution

The third proportional to 64,174 and 139,537 is: 303,402.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,174 : 139,537 = 139,537 : x
  2. Step 2: Convert to fraction form
    64,174/139,537 = 139,537/x
  3. Step 3: Cross multiply
    64,174x = 139,537 × 139,537
  4. Step 4: Simplify right side
    64,174x = 19,470,574,369
  5. Step 5: Solve for x
    x = 19,470,574,369/64,174
  6. Step 6: Final answer
    x = 303,402.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.