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Finding the Third Proportional to 385,515 and 835,386

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Solution

The third proportional to 385,515 and 835,386 is: 1,810,227.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,515 : 835,386 = 835,386 : x
  2. Step 2: Convert to fraction form
    385,515/835,386 = 835,386/x
  3. Step 3: Cross multiply
    385,515x = 835,386 × 835,386
  4. Step 4: Simplify right side
    385,515x = 697,869,768,996
  5. Step 5: Solve for x
    x = 697,869,768,996/385,515
  6. Step 6: Final answer
    x = 1,810,227.28

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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.