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Finding the Third Proportional to 385,291 and 613,610

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Solution

The third proportional to 385,291 and 613,610 is: 977,228.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,291 : 613,610 = 613,610 : x
  2. Step 2: Convert to fraction form
    385,291/613,610 = 613,610/x
  3. Step 3: Cross multiply
    385,291x = 613,610 × 613,610
  4. Step 4: Simplify right side
    385,291x = 376,517,232,100
  5. Step 5: Solve for x
    x = 376,517,232,100/385,291
  6. Step 6: Final answer
    x = 977,228.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.