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Finding the Third Proportional to 286,785.56 and 455,488.31

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Solution

The third proportional to 286,785.56 and 455,488.31 is: 723,431.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,785.56 : 455,488.31 = 455,488.31 : x
  2. Step 2: Convert to fraction form
    286,785.56/455,488.31 = 455,488.31/x
  3. Step 3: Cross multiply
    286,785.56x = 455,488.31 × 455,488.31
  4. Step 4: Simplify right side
    286,785.56x = 207,469,602,824.10
  5. Step 5: Solve for x
    x = 207,469,602,824.10/286,785.56
  6. Step 6: Final answer
    x = 723,431.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.