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Finding the Third Proportional to 340,602 and 740,280

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Solution

The third proportional to 340,602 and 740,280 is: 1,608,958.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,602 : 740,280 = 740,280 : x
  2. Step 2: Convert to fraction form
    340,602/740,280 = 740,280/x
  3. Step 3: Cross multiply
    340,602x = 740,280 × 740,280
  4. Step 4: Simplify right side
    340,602x = 548,014,478,400
  5. Step 5: Solve for x
    x = 548,014,478,400/340,602
  6. Step 6: Final answer
    x = 1,608,958.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.