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Finding the Third Proportional to 385,539 and 835,428

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Solution

The third proportional to 385,539 and 835,428 is: 1,810,296.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,539 : 835,428 = 835,428 : x
  2. Step 2: Convert to fraction form
    385,539/835,428 = 835,428/x
  3. Step 3: Cross multiply
    385,539x = 835,428 × 835,428
  4. Step 4: Simplify right side
    385,539x = 697,939,943,184
  5. Step 5: Solve for x
    x = 697,939,943,184/385,539
  6. Step 6: Final answer
    x = 1,810,296.61

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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.