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Finding the Third Proportional to 140,990 and 307,252

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Solution

The third proportional to 140,990 and 307,252 is: 669,577.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,990 : 307,252 = 307,252 : x
  2. Step 2: Convert to fraction form
    140,990/307,252 = 307,252/x
  3. Step 3: Cross multiply
    140,990x = 307,252 × 307,252
  4. Step 4: Simplify right side
    140,990x = 94,403,791,504
  5. Step 5: Solve for x
    x = 94,403,791,504/140,990
  6. Step 6: Final answer
    x = 669,577.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.