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Finding the Third Proportional to 284,031 and 612,345

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Solution

The third proportional to 284,031 and 612,345 is: 1,320,160.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,031 : 612,345 = 612,345 : x
  2. Step 2: Convert to fraction form
    284,031/612,345 = 612,345/x
  3. Step 3: Cross multiply
    284,031x = 612,345 × 612,345
  4. Step 4: Simplify right side
    284,031x = 374,966,399,025
  5. Step 5: Solve for x
    x = 374,966,399,025/284,031
  6. Step 6: Final answer
    x = 1,320,160.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.