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Finding the Third Proportional to 122,256,589.50 and 182,900,160

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Solution

The third proportional to 122,256,589.50 and 182,900,160 is: 273,625,075.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,256,589.50 : 182,900,160 = 182,900,160 : x
  2. Step 2: Convert to fraction form
    122,256,589.50/182,900,160 = 182,900,160/x
  3. Step 3: Cross multiply
    122,256,589.50x = 182,900,160 × 182,900,160
  4. Step 4: Simplify right side
    122,256,589.50x = 33,452,468,528,025,600
  5. Step 5: Solve for x
    x = 33,452,468,528,025,600/122,256,589.50
  6. Step 6: Final answer
    x = 273,625,075.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.