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Finding the Third Proportional to 140,643 and 303,275

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Solution

The third proportional to 140,643 and 303,275 is: 653,965.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,643 : 303,275 = 303,275 : x
  2. Step 2: Convert to fraction form
    140,643/303,275 = 303,275/x
  3. Step 3: Cross multiply
    140,643x = 303,275 × 303,275
  4. Step 4: Simplify right side
    140,643x = 91,975,725,625
  5. Step 5: Solve for x
    x = 91,975,725,625/140,643
  6. Step 6: Final answer
    x = 653,965.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.