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Finding the Third Proportional to 200,037.75 and 309,534

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Solution

The third proportional to 200,037.75 and 309,534 is: 478,966.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,037.75 : 309,534 = 309,534 : x
  2. Step 2: Convert to fraction form
    200,037.75/309,534 = 309,534/x
  3. Step 3: Cross multiply
    200,037.75x = 309,534 × 309,534
  4. Step 4: Simplify right side
    200,037.75x = 95,811,297,156
  5. Step 5: Solve for x
    x = 95,811,297,156/200,037.75
  6. Step 6: Final answer
    x = 478,966.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.