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Finding the Third Proportional to 309,678.75 and 452,570.06

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Solution

The third proportional to 309,678.75 and 452,570.06 is: 661,393.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,678.75 : 452,570.06 = 452,570.06 : x
  2. Step 2: Convert to fraction form
    309,678.75/452,570.06 = 452,570.06/x
  3. Step 3: Cross multiply
    309,678.75x = 452,570.06 × 452,570.06
  4. Step 4: Simplify right side
    309,678.75x = 204,819,661,471.25
  5. Step 5: Solve for x
    x = 204,819,661,471.25/309,678.75
  6. Step 6: Final answer
    x = 661,393.98

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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.