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Finding the Third Proportional to 500,440 and 737,420

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Solution

The third proportional to 500,440 and 737,420 is: 1,086,620.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,440 : 737,420 = 737,420 : x
  2. Step 2: Convert to fraction form
    500,440/737,420 = 737,420/x
  3. Step 3: Cross multiply
    500,440x = 737,420 × 737,420
  4. Step 4: Simplify right side
    500,440x = 543,788,256,400
  5. Step 5: Solve for x
    x = 543,788,256,400/500,440
  6. Step 6: Final answer
    x = 1,086,620.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.