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Finding the Third Proportional to 343,746 and 505,080

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Solution

The third proportional to 343,746 and 505,080 is: 742,134.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,746 : 505,080 = 505,080 : x
  2. Step 2: Convert to fraction form
    343,746/505,080 = 505,080/x
  3. Step 3: Cross multiply
    343,746x = 505,080 × 505,080
  4. Step 4: Simplify right side
    343,746x = 255,105,806,400
  5. Step 5: Solve for x
    x = 255,105,806,400/343,746
  6. Step 6: Final answer
    x = 742,134.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.