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Finding the Third Proportional to 286,708.50 and 455,406.75

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Solution

The third proportional to 286,708.50 and 455,406.75 is: 723,366.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,708.50 : 455,406.75 = 455,406.75 : x
  2. Step 2: Convert to fraction form
    286,708.50/455,406.75 = 455,406.75/x
  3. Step 3: Cross multiply
    286,708.50x = 455,406.75 × 455,406.75
  4. Step 4: Simplify right side
    286,708.50x = 207,395,307,945.56
  5. Step 5: Solve for x
    x = 207,395,307,945.56/286,708.50
  6. Step 6: Final answer
    x = 723,366.44

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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.