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Finding the Third Proportional to 388,055.25 and 521,473.50

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Solution

The third proportional to 388,055.25 and 521,473.50 is: 700,762.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,055.25 : 521,473.50 = 521,473.50 : x
  2. Step 2: Convert to fraction form
    388,055.25/521,473.50 = 521,473.50/x
  3. Step 3: Cross multiply
    388,055.25x = 521,473.50 × 521,473.50
  4. Step 4: Simplify right side
    388,055.25x = 271,934,611,202.25
  5. Step 5: Solve for x
    x = 271,934,611,202.25/388,055.25
  6. Step 6: Final answer
    x = 700,762.61

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.