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Finding the Third Proportional to 343,440 and 737,664

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Solution

The third proportional to 343,440 and 737,664 is: 1,584,405.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,440 : 737,664 = 737,664 : x
  2. Step 2: Convert to fraction form
    343,440/737,664 = 737,664/x
  3. Step 3: Cross multiply
    343,440x = 737,664 × 737,664
  4. Step 4: Simplify right side
    343,440x = 544,148,176,896
  5. Step 5: Solve for x
    x = 544,148,176,896/343,440
  6. Step 6: Final answer
    x = 1,584,405.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.