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Finding the Third Proportional to 385,509 and 835,374

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Solution

The third proportional to 385,509 and 835,374 is: 1,810,203.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,509 : 835,374 = 835,374 : x
  2. Step 2: Convert to fraction form
    385,509/835,374 = 835,374/x
  3. Step 3: Cross multiply
    385,509x = 835,374 × 835,374
  4. Step 4: Simplify right side
    385,509x = 697,849,719,876
  5. Step 5: Solve for x
    x = 697,849,719,876/385,509
  6. Step 6: Final answer
    x = 1,810,203.44

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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.