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Finding the Third Proportional to 388,294 and 852,724

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Solution

The third proportional to 388,294 and 852,724 is: 1,872,648.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,294 : 852,724 = 852,724 : x
  2. Step 2: Convert to fraction form
    388,294/852,724 = 852,724/x
  3. Step 3: Cross multiply
    388,294x = 852,724 × 852,724
  4. Step 4: Simplify right side
    388,294x = 727,138,220,176
  5. Step 5: Solve for x
    x = 727,138,220,176/388,294
  6. Step 6: Final answer
    x = 1,872,648.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.