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Finding the Third Proportional to 285,368 and 423,944

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Solution

The third proportional to 285,368 and 423,944 is: 629,813.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,368 : 423,944 = 423,944 : x
  2. Step 2: Convert to fraction form
    285,368/423,944 = 423,944/x
  3. Step 3: Cross multiply
    285,368x = 423,944 × 423,944
  4. Step 4: Simplify right side
    285,368x = 179,728,515,136
  5. Step 5: Solve for x
    x = 179,728,515,136/285,368
  6. Step 6: Final answer
    x = 629,813.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.