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Finding the Third Proportional to 358,276 and 782,048

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Solution

The third proportional to 358,276 and 782,048 is: 1,707,061.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,276 : 782,048 = 782,048 : x
  2. Step 2: Convert to fraction form
    358,276/782,048 = 782,048/x
  3. Step 3: Cross multiply
    358,276x = 782,048 × 782,048
  4. Step 4: Simplify right side
    358,276x = 611,599,074,304
  5. Step 5: Solve for x
    x = 611,599,074,304/358,276
  6. Step 6: Final answer
    x = 1,707,061.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.