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Finding the Third Proportional to 180,305,122.50 and 269,396,280

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Solution

The third proportional to 180,305,122.50 and 269,396,280 is: 402,508,562.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,305,122.50 : 269,396,280 = 269,396,280 : x
  2. Step 2: Convert to fraction form
    180,305,122.50/269,396,280 = 269,396,280/x
  3. Step 3: Cross multiply
    180,305,122.50x = 269,396,280 × 269,396,280
  4. Step 4: Simplify right side
    180,305,122.50x = 72,574,355,677,838,400
  5. Step 5: Solve for x
    x = 72,574,355,677,838,400/180,305,122.50
  6. Step 6: Final answer
    x = 402,508,562.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.