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Finding the Third Proportional to 340,440 and 740,580

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Solution

The third proportional to 340,440 and 740,580 is: 1,611,029.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,440 : 740,580 = 740,580 : x
  2. Step 2: Convert to fraction form
    340,440/740,580 = 740,580/x
  3. Step 3: Cross multiply
    340,440x = 740,580 × 740,580
  4. Step 4: Simplify right side
    340,440x = 548,458,736,400
  5. Step 5: Solve for x
    x = 548,458,736,400/340,440
  6. Step 6: Final answer
    x = 1,611,029.07

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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.