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Finding the Third Proportional to 375,980.63 and 782,942.63

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Solution

The third proportional to 375,980.63 and 782,942.63 is: 1,630,400.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,980.63 : 782,942.63 = 782,942.63 : x
  2. Step 2: Convert to fraction form
    375,980.63/782,942.63 = 782,942.63/x
  3. Step 3: Cross multiply
    375,980.63x = 782,942.63 × 782,942.63
  4. Step 4: Simplify right side
    375,980.63x = 612,999,154,041.89
  5. Step 5: Solve for x
    x = 612,999,154,041.89/375,980.63
  6. Step 6: Final answer
    x = 1,630,400.91

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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.