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Finding the Third Proportional to 347,288 and 737,209

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Solution

The third proportional to 347,288 and 737,209 is: 1,564,917.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,288 : 737,209 = 737,209 : x
  2. Step 2: Convert to fraction form
    347,288/737,209 = 737,209/x
  3. Step 3: Cross multiply
    347,288x = 737,209 × 737,209
  4. Step 4: Simplify right side
    347,288x = 543,477,109,681
  5. Step 5: Solve for x
    x = 543,477,109,681/347,288
  6. Step 6: Final answer
    x = 1,564,917.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.