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Finding the Third Proportional to 243,307 and 522,574

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Solution

The third proportional to 243,307 and 522,574 is: 1,122,382.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,307 : 522,574 = 522,574 : x
  2. Step 2: Convert to fraction form
    243,307/522,574 = 522,574/x
  3. Step 3: Cross multiply
    243,307x = 522,574 × 522,574
  4. Step 4: Simplify right side
    243,307x = 273,083,585,476
  5. Step 5: Solve for x
    x = 273,083,585,476/243,307
  6. Step 6: Final answer
    x = 1,122,382.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.