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Finding the Third Proportional to 245,343 and 499,707

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Solution

The third proportional to 245,343 and 499,707 is: 1,017,787.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,343 : 499,707 = 499,707 : x
  2. Step 2: Convert to fraction form
    245,343/499,707 = 499,707/x
  3. Step 3: Cross multiply
    245,343x = 499,707 × 499,707
  4. Step 4: Simplify right side
    245,343x = 249,707,085,849
  5. Step 5: Solve for x
    x = 249,707,085,849/245,343
  6. Step 6: Final answer
    x = 1,017,787.69

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.