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Finding the Third Proportional to 286,112.25 and 420,400.13

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Solution

The third proportional to 286,112.25 and 420,400.13 is: 617,716.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,112.25 : 420,400.13 = 420,400.13 : x
  2. Step 2: Convert to fraction form
    286,112.25/420,400.13 = 420,400.13/x
  3. Step 3: Cross multiply
    286,112.25x = 420,400.13 × 420,400.13
  4. Step 4: Simplify right side
    286,112.25x = 176,736,265,100.02
  5. Step 5: Solve for x
    x = 176,736,265,100.02/286,112.25
  6. Step 6: Final answer
    x = 617,716.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.