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Finding the Third Proportional to 139,473 and 286,299

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Solution

The third proportional to 139,473 and 286,299 is: 587,691.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,473 : 286,299 = 286,299 : x
  2. Step 2: Convert to fraction form
    139,473/286,299 = 286,299/x
  3. Step 3: Cross multiply
    139,473x = 286,299 × 286,299
  4. Step 4: Simplify right side
    139,473x = 81,967,117,401
  5. Step 5: Solve for x
    x = 81,967,117,401/139,473
  6. Step 6: Final answer
    x = 587,691.65

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.