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Finding the Third Proportional to 456,329.25 and 715,815.75

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Solution

The third proportional to 456,329.25 and 715,815.75 is: 1,122,856.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,329.25 : 715,815.75 = 715,815.75 : x
  2. Step 2: Convert to fraction form
    456,329.25/715,815.75 = 715,815.75/x
  3. Step 3: Cross multiply
    456,329.25x = 715,815.75 × 715,815.75
  4. Step 4: Simplify right side
    456,329.25x = 512,392,187,948.06
  5. Step 5: Solve for x
    x = 512,392,187,948.06/456,329.25
  6. Step 6: Final answer
    x = 1,122,856.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.