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Finding the Third Proportional to 132,720.19 and 287,578.69

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Solution

The third proportional to 132,720.19 and 287,578.69 is: 623,126.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,720.19 : 287,578.69 = 287,578.69 : x
  2. Step 2: Convert to fraction form
    132,720.19/287,578.69 = 287,578.69/x
  3. Step 3: Cross multiply
    132,720.19x = 287,578.69 × 287,578.69
  4. Step 4: Simplify right side
    132,720.19x = 82,701,501,504.22
  5. Step 5: Solve for x
    x = 82,701,501,504.22/132,720.19
  6. Step 6: Final answer
    x = 623,126.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.