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Finding the Third Proportional to 417,930 and 630,783

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Solution

The third proportional to 417,930 and 630,783 is: 952,042.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,930 : 630,783 = 630,783 : x
  2. Step 2: Convert to fraction form
    417,930/630,783 = 630,783/x
  3. Step 3: Cross multiply
    417,930x = 630,783 × 630,783
  4. Step 4: Simplify right side
    417,930x = 397,887,193,089
  5. Step 5: Solve for x
    x = 397,887,193,089/417,930
  6. Step 6: Final answer
    x = 952,042.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.