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Finding the Third Proportional to 131,305.50 and 288,140.25

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Solution

The third proportional to 131,305.50 and 288,140.25 is: 632,302.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,305.50 : 288,140.25 = 288,140.25 : x
  2. Step 2: Convert to fraction form
    131,305.50/288,140.25 = 288,140.25/x
  3. Step 3: Cross multiply
    131,305.50x = 288,140.25 × 288,140.25
  4. Step 4: Simplify right side
    131,305.50x = 83,024,803,670.06
  5. Step 5: Solve for x
    x = 83,024,803,670.06/131,305.50
  6. Step 6: Final answer
    x = 632,302.56

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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.