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Finding the Third Proportional to 388,431 and 847,472

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Solution

The third proportional to 388,431 and 847,472 is: 1,848,999.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,431 : 847,472 = 847,472 : x
  2. Step 2: Convert to fraction form
    388,431/847,472 = 847,472/x
  3. Step 3: Cross multiply
    388,431x = 847,472 × 847,472
  4. Step 4: Simplify right side
    388,431x = 718,208,790,784
  5. Step 5: Solve for x
    x = 718,208,790,784/388,431
  6. Step 6: Final answer
    x = 1,848,999.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.