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Finding the Third Proportional to 417,928 and 630,780

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Solution

The third proportional to 417,928 and 630,780 is: 952,038.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,928 : 630,780 = 630,780 : x
  2. Step 2: Convert to fraction form
    417,928/630,780 = 630,780/x
  3. Step 3: Cross multiply
    417,928x = 630,780 × 630,780
  4. Step 4: Simplify right side
    417,928x = 397,883,408,400
  5. Step 5: Solve for x
    x = 397,883,408,400/417,928
  6. Step 6: Final answer
    x = 952,038.17

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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.