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Finding the Third Proportional to 349,248 and 517,318

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Solution

The third proportional to 349,248 and 517,318 is: 766,268.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,248 : 517,318 = 517,318 : x
  2. Step 2: Convert to fraction form
    349,248/517,318 = 517,318/x
  3. Step 3: Cross multiply
    349,248x = 517,318 × 517,318
  4. Step 4: Simplify right side
    349,248x = 267,617,913,124
  5. Step 5: Solve for x
    x = 267,617,913,124/349,248
  6. Step 6: Final answer
    x = 766,268.99

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.