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Finding the Third Proportional to 340,604 and 740,284

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Solution

The third proportional to 340,604 and 740,284 is: 1,608,966.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,604 : 740,284 = 740,284 : x
  2. Step 2: Convert to fraction form
    340,604/740,284 = 740,284/x
  3. Step 3: Cross multiply
    340,604x = 740,284 × 740,284
  4. Step 4: Simplify right side
    340,604x = 548,020,400,656
  5. Step 5: Solve for x
    x = 548,020,400,656/340,604
  6. Step 6: Final answer
    x = 1,608,966.43

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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.