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Finding the Third Proportional to 388,840.13 and 808,719.75

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Solution

The third proportional to 388,840.13 and 808,719.75 is: 1,681,996.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,840.13 : 808,719.75 = 808,719.75 : x
  2. Step 2: Convert to fraction form
    388,840.13/808,719.75 = 808,719.75/x
  3. Step 3: Cross multiply
    388,840.13x = 808,719.75 × 808,719.75
  4. Step 4: Simplify right side
    388,840.13x = 654,027,634,040.06
  5. Step 5: Solve for x
    x = 654,027,634,040.06/388,840.13
  6. Step 6: Final answer
    x = 1,681,996.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.