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Finding the Third Proportional to 309,686 and 452,585

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Solution

The third proportional to 309,686 and 452,585 is: 661,422.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,686 : 452,585 = 452,585 : x
  2. Step 2: Convert to fraction form
    309,686/452,585 = 452,585/x
  3. Step 3: Cross multiply
    309,686x = 452,585 × 452,585
  4. Step 4: Simplify right side
    309,686x = 204,833,182,225
  5. Step 5: Solve for x
    x = 204,833,182,225/309,686
  6. Step 6: Final answer
    x = 661,422.16

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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.