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Finding the Third Proportional to 385,543 and 835,436

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Solution

The third proportional to 385,543 and 835,436 is: 1,810,312.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,543 : 835,436 = 835,436 : x
  2. Step 2: Convert to fraction form
    385,543/835,436 = 835,436/x
  3. Step 3: Cross multiply
    385,543x = 835,436 × 835,436
  4. Step 4: Simplify right side
    385,543x = 697,953,310,096
  5. Step 5: Solve for x
    x = 697,953,310,096/385,543
  6. Step 6: Final answer
    x = 1,810,312.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.