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Finding the Third Proportional to 154,957.50 and 239,271.75

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Solution

The third proportional to 154,957.50 and 239,271.75 is: 369,462.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,957.50 : 239,271.75 = 239,271.75 : x
  2. Step 2: Convert to fraction form
    154,957.50/239,271.75 = 239,271.75/x
  3. Step 3: Cross multiply
    154,957.50x = 239,271.75 × 239,271.75
  4. Step 4: Simplify right side
    154,957.50x = 57,250,970,348.06
  5. Step 5: Solve for x
    x = 57,250,970,348.06/154,957.50
  6. Step 6: Final answer
    x = 369,462.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.