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Finding the Third Proportional to 340,986 and 717,328

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Solution

The third proportional to 340,986 and 717,328 is: 1,509,033.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,986 : 717,328 = 717,328 : x
  2. Step 2: Convert to fraction form
    340,986/717,328 = 717,328/x
  3. Step 3: Cross multiply
    340,986x = 717,328 × 717,328
  4. Step 4: Simplify right side
    340,986x = 514,559,459,584
  5. Step 5: Solve for x
    x = 514,559,459,584/340,986
  6. Step 6: Final answer
    x = 1,509,033.98

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.