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Finding the Third Proportional to 64,010 and 139,365

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Solution

The third proportional to 64,010 and 139,365 is: 303,430.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,010 : 139,365 = 139,365 : x
  2. Step 2: Convert to fraction form
    64,010/139,365 = 139,365/x
  3. Step 3: Cross multiply
    64,010x = 139,365 × 139,365
  4. Step 4: Simplify right side
    64,010x = 19,422,603,225
  5. Step 5: Solve for x
    x = 19,422,603,225/64,010
  6. Step 6: Final answer
    x = 303,430.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.