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Finding the Third Proportional to 221,410 and 352,480

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Solution

The third proportional to 221,410 and 352,480 is: 561,140.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,410 : 352,480 = 352,480 : x
  2. Step 2: Convert to fraction form
    221,410/352,480 = 352,480/x
  3. Step 3: Cross multiply
    221,410x = 352,480 × 352,480
  4. Step 4: Simplify right side
    221,410x = 124,242,150,400
  5. Step 5: Solve for x
    x = 124,242,150,400/221,410
  6. Step 6: Final answer
    x = 561,140.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.