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Finding the Third Proportional to 315,835 and 485,951

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Solution

The third proportional to 315,835 and 485,951 is: 747,695.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,835 : 485,951 = 485,951 : x
  2. Step 2: Convert to fraction form
    315,835/485,951 = 485,951/x
  3. Step 3: Cross multiply
    315,835x = 485,951 × 485,951
  4. Step 4: Simplify right side
    315,835x = 236,148,374,401
  5. Step 5: Solve for x
    x = 236,148,374,401/315,835
  6. Step 6: Final answer
    x = 747,695.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.