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Finding the Third Proportional to 388,469 and 847,543

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Solution

The third proportional to 388,469 and 847,543 is: 1,849,128.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,469 : 847,543 = 847,543 : x
  2. Step 2: Convert to fraction form
    388,469/847,543 = 847,543/x
  3. Step 3: Cross multiply
    388,469x = 847,543 × 847,543
  4. Step 4: Simplify right side
    388,469x = 718,329,136,849
  5. Step 5: Solve for x
    x = 718,329,136,849/388,469
  6. Step 6: Final answer
    x = 1,849,128.60

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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.