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Finding the Third Proportional to 353,816 and 740,440

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Solution

The third proportional to 353,816 and 740,440 is: 1,549,538.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,816 : 740,440 = 740,440 : x
  2. Step 2: Convert to fraction form
    353,816/740,440 = 740,440/x
  3. Step 3: Cross multiply
    353,816x = 740,440 × 740,440
  4. Step 4: Simplify right side
    353,816x = 548,251,393,600
  5. Step 5: Solve for x
    x = 548,251,393,600/353,816
  6. Step 6: Final answer
    x = 1,549,538.16

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.