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Finding the Third Proportional to 385,344 and 605,280

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Solution

The third proportional to 385,344 and 605,280 is: 950,744.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,344 : 605,280 = 605,280 : x
  2. Step 2: Convert to fraction form
    385,344/605,280 = 605,280/x
  3. Step 3: Cross multiply
    385,344x = 605,280 × 605,280
  4. Step 4: Simplify right side
    385,344x = 366,363,878,400
  5. Step 5: Solve for x
    x = 366,363,878,400/385,344
  6. Step 6: Final answer
    x = 950,744.99

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.