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Finding the Third Proportional to 284,931 and 439,732

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Solution

The third proportional to 284,931 and 439,732 is: 678,635.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,931 : 439,732 = 439,732 : x
  2. Step 2: Convert to fraction form
    284,931/439,732 = 439,732/x
  3. Step 3: Cross multiply
    284,931x = 439,732 × 439,732
  4. Step 4: Simplify right side
    284,931x = 193,364,231,824
  5. Step 5: Solve for x
    x = 193,364,231,824/284,931
  6. Step 6: Final answer
    x = 678,635.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.