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Finding the Third Proportional to 388,872 and 609,228

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Solution

The third proportional to 388,872 and 609,228 is: 954,449.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,872 : 609,228 = 609,228 : x
  2. Step 2: Convert to fraction form
    388,872/609,228 = 609,228/x
  3. Step 3: Cross multiply
    388,872x = 609,228 × 609,228
  4. Step 4: Simplify right side
    388,872x = 371,158,755,984
  5. Step 5: Solve for x
    x = 371,158,755,984/388,872
  6. Step 6: Final answer
    x = 954,449.68

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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.