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Finding the Third Proportional to 64,914.75 and 143,919

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Solution

The third proportional to 64,914.75 and 143,919 is: 319,075.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,914.75 : 143,919 = 143,919 : x
  2. Step 2: Convert to fraction form
    64,914.75/143,919 = 143,919/x
  3. Step 3: Cross multiply
    64,914.75x = 143,919 × 143,919
  4. Step 4: Simplify right side
    64,914.75x = 20,712,678,561
  5. Step 5: Solve for x
    x = 20,712,678,561/64,914.75
  6. Step 6: Final answer
    x = 319,075.07

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.