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Finding the Third Proportional to 139,476 and 286,368

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Solution

The third proportional to 139,476 and 286,368 is: 587,962.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,476 : 286,368 = 286,368 : x
  2. Step 2: Convert to fraction form
    139,476/286,368 = 286,368/x
  3. Step 3: Cross multiply
    139,476x = 286,368 × 286,368
  4. Step 4: Simplify right side
    139,476x = 82,006,631,424
  5. Step 5: Solve for x
    x = 82,006,631,424/139,476
  6. Step 6: Final answer
    x = 587,962.31

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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.