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Finding the Third Proportional to 245,642 and 509,748

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Solution

The third proportional to 245,642 and 509,748 is: 1,057,811.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,642 : 509,748 = 509,748 : x
  2. Step 2: Convert to fraction form
    245,642/509,748 = 509,748/x
  3. Step 3: Cross multiply
    245,642x = 509,748 × 509,748
  4. Step 4: Simplify right side
    245,642x = 259,843,023,504
  5. Step 5: Solve for x
    x = 259,843,023,504/245,642
  6. Step 6: Final answer
    x = 1,057,811.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.