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Finding the Third Proportional to 385,722 and 829,386

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Solution

The third proportional to 385,722 and 829,386 is: 1,783,359.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,722 : 829,386 = 829,386 : x
  2. Step 2: Convert to fraction form
    385,722/829,386 = 829,386/x
  3. Step 3: Cross multiply
    385,722x = 829,386 × 829,386
  4. Step 4: Simplify right side
    385,722x = 687,881,136,996
  5. Step 5: Solve for x
    x = 687,881,136,996/385,722
  6. Step 6: Final answer
    x = 1,783,359.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.