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Finding the Third Proportional to 263,717.65 and 393,838.45

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Solution

The third proportional to 263,717.65 and 393,838.45 is: 588,162.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,717.65 : 393,838.45 = 393,838.45 : x
  2. Step 2: Convert to fraction form
    263,717.65/393,838.45 = 393,838.45/x
  3. Step 3: Cross multiply
    263,717.65x = 393,838.45 × 393,838.45
  4. Step 4: Simplify right side
    263,717.65x = 155,108,727,159.89
  5. Step 5: Solve for x
    x = 155,108,727,159.89/263,717.65
  6. Step 6: Final answer
    x = 588,162.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.