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Finding the Third Proportional to 263,148 and 578,784

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Solution

The third proportional to 263,148 and 578,784 is: 1,273,013.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,148 : 578,784 = 578,784 : x
  2. Step 2: Convert to fraction form
    263,148/578,784 = 578,784/x
  3. Step 3: Cross multiply
    263,148x = 578,784 × 578,784
  4. Step 4: Simplify right side
    263,148x = 334,990,918,656
  5. Step 5: Solve for x
    x = 334,990,918,656/263,148
  6. Step 6: Final answer
    x = 1,273,013.36

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Why These Related Problems?

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