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Finding the Third Proportional to 131,071 and 286,673

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Solution

The third proportional to 131,071 and 286,673 is: 626,999.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,071 : 286,673 = 286,673 : x
  2. Step 2: Convert to fraction form
    131,071/286,673 = 286,673/x
  3. Step 3: Cross multiply
    131,071x = 286,673 × 286,673
  4. Step 4: Simplify right side
    131,071x = 82,181,408,929
  5. Step 5: Solve for x
    x = 82,181,408,929/131,071
  6. Step 6: Final answer
    x = 626,999.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.