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Finding the Third Proportional to 388,102.50 and 623,155.50

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Solution

The third proportional to 388,102.50 and 623,155.50 is: 1,000,567.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,102.50 : 623,155.50 = 623,155.50 : x
  2. Step 2: Convert to fraction form
    388,102.50/623,155.50 = 623,155.50/x
  3. Step 3: Cross multiply
    388,102.50x = 623,155.50 × 623,155.50
  4. Step 4: Simplify right side
    388,102.50x = 388,322,777,180.25
  5. Step 5: Solve for x
    x = 388,322,777,180.25/388,102.50
  6. Step 6: Final answer
    x = 1,000,567.57

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.