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Finding the Third Proportional to 145,320 and 221,747

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Solution

The third proportional to 145,320 and 221,747 is: 338,368.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,320 : 221,747 = 221,747 : x
  2. Step 2: Convert to fraction form
    145,320/221,747 = 221,747/x
  3. Step 3: Cross multiply
    145,320x = 221,747 × 221,747
  4. Step 4: Simplify right side
    145,320x = 49,171,732,009
  5. Step 5: Solve for x
    x = 49,171,732,009/145,320
  6. Step 6: Final answer
    x = 338,368.65

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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.