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Finding the Third Proportional to 284,427 and 427,365

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Solution

The third proportional to 284,427 and 427,365 is: 642,136.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,427 : 427,365 = 427,365 : x
  2. Step 2: Convert to fraction form
    284,427/427,365 = 427,365/x
  3. Step 3: Cross multiply
    284,427x = 427,365 × 427,365
  4. Step 4: Simplify right side
    284,427x = 182,640,843,225
  5. Step 5: Solve for x
    x = 182,640,843,225/284,427
  6. Step 6: Final answer
    x = 642,136.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.