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Finding the Third Proportional to 145,324 and 221,751

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Solution

The third proportional to 145,324 and 221,751 is: 338,371.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,324 : 221,751 = 221,751 : x
  2. Step 2: Convert to fraction form
    145,324/221,751 = 221,751/x
  3. Step 3: Cross multiply
    145,324x = 221,751 × 221,751
  4. Step 4: Simplify right side
    145,324x = 49,173,506,001
  5. Step 5: Solve for x
    x = 49,173,506,001/145,324
  6. Step 6: Final answer
    x = 338,371.54

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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.