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Finding the Third Proportional to 131,259 and 286,575

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Solution

The third proportional to 131,259 and 286,575 is: 625,673.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,259 : 286,575 = 286,575 : x
  2. Step 2: Convert to fraction form
    131,259/286,575 = 286,575/x
  3. Step 3: Cross multiply
    131,259x = 286,575 × 286,575
  4. Step 4: Simplify right side
    131,259x = 82,125,230,625
  5. Step 5: Solve for x
    x = 82,125,230,625/131,259
  6. Step 6: Final answer
    x = 625,673.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.