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Finding the Third Proportional to 180,311.63 and 385,637.63

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Solution

The third proportional to 180,311.63 and 385,637.63 is: 824,774.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,311.63 : 385,637.63 = 385,637.63 : x
  2. Step 2: Convert to fraction form
    180,311.63/385,637.63 = 385,637.63/x
  3. Step 3: Cross multiply
    180,311.63x = 385,637.63 × 385,637.63
  4. Step 4: Simplify right side
    180,311.63x = 148,716,377,815.64
  5. Step 5: Solve for x
    x = 148,716,377,815.64/180,311.63
  6. Step 6: Final answer
    x = 824,774.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.