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Finding the Third Proportional to 64,000 and 139,556

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Solution

The third proportional to 64,000 and 139,556 is: 304,310.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,000 : 139,556 = 139,556 : x
  2. Step 2: Convert to fraction form
    64,000/139,556 = 139,556/x
  3. Step 3: Cross multiply
    64,000x = 139,556 × 139,556
  4. Step 4: Simplify right side
    64,000x = 19,475,877,136
  5. Step 5: Solve for x
    x = 19,475,877,136/64,000
  6. Step 6: Final answer
    x = 304,310.58

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