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Finding the Third Proportional to 142,459 and 220,573

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Solution

The third proportional to 142,459 and 220,573 is: 341,518.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,459 : 220,573 = 220,573 : x
  2. Step 2: Convert to fraction form
    142,459/220,573 = 220,573/x
  3. Step 3: Cross multiply
    142,459x = 220,573 × 220,573
  4. Step 4: Simplify right side
    142,459x = 48,652,448,329
  5. Step 5: Solve for x
    x = 48,652,448,329/142,459
  6. Step 6: Final answer
    x = 341,518.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.