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Finding the Third Proportional to 145,073.53 and 221,903.30

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Solution

The third proportional to 145,073.53 and 221,903.30 is: 339,421.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,073.53 : 221,903.30 = 221,903.30 : x
  2. Step 2: Convert to fraction form
    145,073.53/221,903.30 = 221,903.30/x
  3. Step 3: Cross multiply
    145,073.53x = 221,903.30 × 221,903.30
  4. Step 4: Simplify right side
    145,073.53x = 49,241,073,163.99
  5. Step 5: Solve for x
    x = 49,241,073,163.99/145,073.53
  6. Step 6: Final answer
    x = 339,421.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.