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Finding the Third Proportional to 388,431 and 847,485

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Solution

The third proportional to 388,431 and 847,485 is: 1,849,056.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,431 : 847,485 = 847,485 : x
  2. Step 2: Convert to fraction form
    388,431/847,485 = 847,485/x
  3. Step 3: Cross multiply
    388,431x = 847,485 × 847,485
  4. Step 4: Simplify right side
    388,431x = 718,230,825,225
  5. Step 5: Solve for x
    x = 718,230,825,225/388,431
  6. Step 6: Final answer
    x = 1,849,056.40

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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.