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Finding the Third Proportional to 349,240 and 517,312

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Solution

The third proportional to 349,240 and 517,312 is: 766,268.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,240 : 517,312 = 517,312 : x
  2. Step 2: Convert to fraction form
    349,240/517,312 = 517,312/x
  3. Step 3: Cross multiply
    349,240x = 517,312 × 517,312
  4. Step 4: Simplify right side
    349,240x = 267,611,705,344
  5. Step 5: Solve for x
    x = 267,611,705,344/349,240
  6. Step 6: Final answer
    x = 766,268.77

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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.