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Finding the Third Proportional to 348,424 and 763,280

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Solution

The third proportional to 348,424 and 763,280 is: 1,672,090.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,424 : 763,280 = 763,280 : x
  2. Step 2: Convert to fraction form
    348,424/763,280 = 763,280/x
  3. Step 3: Cross multiply
    348,424x = 763,280 × 763,280
  4. Step 4: Simplify right side
    348,424x = 582,596,358,400
  5. Step 5: Solve for x
    x = 582,596,358,400/348,424
  6. Step 6: Final answer
    x = 1,672,090.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.