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Finding the Third Proportional to 284,140 and 612,560

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Solution

The third proportional to 284,140 and 612,560 is: 1,320,580.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,140 : 612,560 = 612,560 : x
  2. Step 2: Convert to fraction form
    284,140/612,560 = 612,560/x
  3. Step 3: Cross multiply
    284,140x = 612,560 × 612,560
  4. Step 4: Simplify right side
    284,140x = 375,229,753,600
  5. Step 5: Solve for x
    x = 375,229,753,600/284,140
  6. Step 6: Final answer
    x = 1,320,580.54

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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.