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Finding the Third Proportional to 309,684 and 452,580

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Solution

The third proportional to 309,684 and 452,580 is: 661,411.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,684 : 452,580 = 452,580 : x
  2. Step 2: Convert to fraction form
    309,684/452,580 = 452,580/x
  3. Step 3: Cross multiply
    309,684x = 452,580 × 452,580
  4. Step 4: Simplify right side
    309,684x = 204,828,656,400
  5. Step 5: Solve for x
    x = 204,828,656,400/309,684
  6. Step 6: Final answer
    x = 661,411.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.