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Finding the Third Proportional to 188,829 and 288,172.13

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Solution

The third proportional to 188,829 and 288,172.13 is: 439,779.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,829 : 288,172.13 = 288,172.13 : x
  2. Step 2: Convert to fraction form
    188,829/288,172.13 = 288,172.13/x
  3. Step 3: Cross multiply
    188,829x = 288,172.13 × 288,172.13
  4. Step 4: Simplify right side
    188,829x = 83,043,173,627.02
  5. Step 5: Solve for x
    x = 83,043,173,627.02/188,829
  6. Step 6: Final answer
    x = 439,779.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.