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Finding the Third Proportional to 309,659.25 and 452,539.13

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Solution

The third proportional to 309,659.25 and 452,539.13 is: 661,345.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,659.25 : 452,539.13 = 452,539.13 : x
  2. Step 2: Convert to fraction form
    309,659.25/452,539.13 = 452,539.13/x
  3. Step 3: Cross multiply
    309,659.25x = 452,539.13 × 452,539.13
  4. Step 4: Simplify right side
    309,659.25x = 204,791,659,655.77
  5. Step 5: Solve for x
    x = 204,791,659,655.77/309,659.25
  6. Step 6: Final answer
    x = 661,345.20

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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.