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Finding the Third Proportional to 617,307 and 1,347,729

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Solution

The third proportional to 617,307 and 1,347,729 is: 2,942,415.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,307 : 1,347,729 = 1,347,729 : x
  2. Step 2: Convert to fraction form
    617,307/1,347,729 = 1,347,729/x
  3. Step 3: Cross multiply
    617,307x = 1,347,729 × 1,347,729
  4. Step 4: Simplify right side
    617,307x = 1,816,373,457,441
  5. Step 5: Solve for x
    x = 1,816,373,457,441/617,307
  6. Step 6: Final answer
    x = 2,942,415.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.