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Finding the Third Proportional to 417,924 and 630,774

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Solution

The third proportional to 417,924 and 630,774 is: 952,029.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,924 : 630,774 = 630,774 : x
  2. Step 2: Convert to fraction form
    417,924/630,774 = 630,774/x
  3. Step 3: Cross multiply
    417,924x = 630,774 × 630,774
  4. Step 4: Simplify right side
    417,924x = 397,875,839,076
  5. Step 5: Solve for x
    x = 397,875,839,076/417,924
  6. Step 6: Final answer
    x = 952,029.17

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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.