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Finding the Third Proportional to 131,643 and 284,262

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Solution

The third proportional to 131,643 and 284,262 is: 613,818.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,643 : 284,262 = 284,262 : x
  2. Step 2: Convert to fraction form
    131,643/284,262 = 284,262/x
  3. Step 3: Cross multiply
    131,643x = 284,262 × 284,262
  4. Step 4: Simplify right side
    131,643x = 80,804,884,644
  5. Step 5: Solve for x
    x = 80,804,884,644/131,643
  6. Step 6: Final answer
    x = 613,818.32

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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.