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Finding the Third Proportional to 131,220 and 288,866.25

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Solution

The third proportional to 131,220 and 288,866.25 is: 635,906.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,220 : 288,866.25 = 288,866.25 : x
  2. Step 2: Convert to fraction form
    131,220/288,866.25 = 288,866.25/x
  3. Step 3: Cross multiply
    131,220x = 288,866.25 × 288,866.25
  4. Step 4: Simplify right side
    131,220x = 83,443,710,389.06
  5. Step 5: Solve for x
    x = 83,443,710,389.06/131,220
  6. Step 6: Final answer
    x = 635,906.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.