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Finding the Third Proportional to 385,272 and 613,584

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Solution

The third proportional to 385,272 and 613,584 is: 977,193.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,272 : 613,584 = 613,584 : x
  2. Step 2: Convert to fraction form
    385,272/613,584 = 613,584/x
  3. Step 3: Cross multiply
    385,272x = 613,584 × 613,584
  4. Step 4: Simplify right side
    385,272x = 376,485,325,056
  5. Step 5: Solve for x
    x = 376,485,325,056/385,272
  6. Step 6: Final answer
    x = 977,193.58

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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.