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Finding the Third Proportional to 346,450 and 782,515

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Solution

The third proportional to 346,450 and 782,515 is: 1,767,440.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,450 : 782,515 = 782,515 : x
  2. Step 2: Convert to fraction form
    346,450/782,515 = 782,515/x
  3. Step 3: Cross multiply
    346,450x = 782,515 × 782,515
  4. Step 4: Simplify right side
    346,450x = 612,329,725,225
  5. Step 5: Solve for x
    x = 612,329,725,225/346,450
  6. Step 6: Final answer
    x = 1,767,440.40

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.