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Finding the Third Proportional to 64,291.50 and 143,487

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Solution

The third proportional to 64,291.50 and 143,487 is: 320,237.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,291.50 : 143,487 = 143,487 : x
  2. Step 2: Convert to fraction form
    64,291.50/143,487 = 143,487/x
  3. Step 3: Cross multiply
    64,291.50x = 143,487 × 143,487
  4. Step 4: Simplify right side
    64,291.50x = 20,588,519,169
  5. Step 5: Solve for x
    x = 20,588,519,169/64,291.50
  6. Step 6: Final answer
    x = 320,237.03

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.