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Finding the Third Proportional to 131,250 and 286,560

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Solution

The third proportional to 131,250 and 286,560 is: 625,650.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,250 : 286,560 = 286,560 : x
  2. Step 2: Convert to fraction form
    131,250/286,560 = 286,560/x
  3. Step 3: Cross multiply
    131,250x = 286,560 × 286,560
  4. Step 4: Simplify right side
    131,250x = 82,116,633,600
  5. Step 5: Solve for x
    x = 82,116,633,600/131,250
  6. Step 6: Final answer
    x = 625,650.54

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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.