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Finding the Third Proportional to 299,216 and 437,248

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Solution

The third proportional to 299,216 and 437,248 is: 638,955.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,216 : 437,248 = 437,248 : x
  2. Step 2: Convert to fraction form
    299,216/437,248 = 437,248/x
  3. Step 3: Cross multiply
    299,216x = 437,248 × 437,248
  4. Step 4: Simplify right side
    299,216x = 191,185,813,504
  5. Step 5: Solve for x
    x = 191,185,813,504/299,216
  6. Step 6: Final answer
    x = 638,955.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.