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Finding the Third Proportional to 588,280 and 828,420

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Solution

The third proportional to 588,280 and 828,420 is: 1,166,586.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,280 : 828,420 = 828,420 : x
  2. Step 2: Convert to fraction form
    588,280/828,420 = 828,420/x
  3. Step 3: Cross multiply
    588,280x = 828,420 × 828,420
  4. Step 4: Simplify right side
    588,280x = 686,279,696,400
  5. Step 5: Solve for x
    x = 686,279,696,400/588,280
  6. Step 6: Final answer
    x = 1,166,586.82

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.