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Finding the Third Proportional to 310,485.66 and 640,791

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Solution

The third proportional to 310,485.66 and 640,791 is: 1,322,486.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,485.66 : 640,791 = 640,791 : x
  2. Step 2: Convert to fraction form
    310,485.66/640,791 = 640,791/x
  3. Step 3: Cross multiply
    310,485.66x = 640,791 × 640,791
  4. Step 4: Simplify right side
    310,485.66x = 410,613,105,681
  5. Step 5: Solve for x
    x = 410,613,105,681/310,485.66
  6. Step 6: Final answer
    x = 1,322,486.55

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.