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Finding the Third Proportional to 285,851.25 and 420,213.38

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Solution

The third proportional to 285,851.25 and 420,213.38 is: 617,731.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,851.25 : 420,213.38 = 420,213.38 : x
  2. Step 2: Convert to fraction form
    285,851.25/420,213.38 = 420,213.38/x
  3. Step 3: Cross multiply
    285,851.25x = 420,213.38 × 420,213.38
  4. Step 4: Simplify right side
    285,851.25x = 176,579,280,528.89
  5. Step 5: Solve for x
    x = 176,579,280,528.89/285,851.25
  6. Step 6: Final answer
    x = 617,731.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.