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Finding the Third Proportional to 385,144 and 840,272

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Solution

The third proportional to 385,144 and 840,272 is: 1,833,228.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,144 : 840,272 = 840,272 : x
  2. Step 2: Convert to fraction form
    385,144/840,272 = 840,272/x
  3. Step 3: Cross multiply
    385,144x = 840,272 × 840,272
  4. Step 4: Simplify right side
    385,144x = 706,057,033,984
  5. Step 5: Solve for x
    x = 706,057,033,984/385,144
  6. Step 6: Final answer
    x = 1,833,228.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.