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Finding the Third Proportional to 286,030.75 and 388,465.50

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Solution

The third proportional to 286,030.75 and 388,465.50 is: 527,584.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,030.75 : 388,465.50 = 388,465.50 : x
  2. Step 2: Convert to fraction form
    286,030.75/388,465.50 = 388,465.50/x
  3. Step 3: Cross multiply
    286,030.75x = 388,465.50 × 388,465.50
  4. Step 4: Simplify right side
    286,030.75x = 150,905,444,690.25
  5. Step 5: Solve for x
    x = 150,905,444,690.25/286,030.75
  6. Step 6: Final answer
    x = 527,584.69

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.