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Finding the Third Proportional to 131,314.50 and 288,345.38

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Solution

The third proportional to 131,314.50 and 288,345.38 is: 633,159.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,314.50 : 288,345.38 = 288,345.38 : x
  2. Step 2: Convert to fraction form
    131,314.50/288,345.38 = 288,345.38/x
  3. Step 3: Cross multiply
    131,314.50x = 288,345.38 × 288,345.38
  4. Step 4: Simplify right side
    131,314.50x = 83,143,055,283.89
  5. Step 5: Solve for x
    x = 83,143,055,283.89/131,314.50
  6. Step 6: Final answer
    x = 633,159.74

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