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Finding the Third Proportional to 120,513 and 285,518

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Solution

The third proportional to 120,513 and 285,518 is: 676,445.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,513 : 285,518 = 285,518 : x
  2. Step 2: Convert to fraction form
    120,513/285,518 = 285,518/x
  3. Step 3: Cross multiply
    120,513x = 285,518 × 285,518
  4. Step 4: Simplify right side
    120,513x = 81,520,528,324
  5. Step 5: Solve for x
    x = 81,520,528,324/120,513
  6. Step 6: Final answer
    x = 676,445.93

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.