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Finding the Third Proportional to 114,915.80 and 178,350.61

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Solution

The third proportional to 114,915.80 and 178,350.61 is: 276,802.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,915.80 : 178,350.61 = 178,350.61 : x
  2. Step 2: Convert to fraction form
    114,915.80/178,350.61 = 178,350.61/x
  3. Step 3: Cross multiply
    114,915.80x = 178,350.61 × 178,350.61
  4. Step 4: Simplify right side
    114,915.80x = 31,808,939,864.43
  5. Step 5: Solve for x
    x = 31,808,939,864.43/114,915.80
  6. Step 6: Final answer
    x = 276,802.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.