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Finding the Third Proportional to 383,332.50 and 840,476.25

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Solution

The third proportional to 383,332.50 and 840,476.25 is: 1,842,787.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,332.50 : 840,476.25 = 840,476.25 : x
  2. Step 2: Convert to fraction form
    383,332.50/840,476.25 = 840,476.25/x
  3. Step 3: Cross multiply
    383,332.50x = 840,476.25 × 840,476.25
  4. Step 4: Simplify right side
    383,332.50x = 706,400,326,814.06
  5. Step 5: Solve for x
    x = 706,400,326,814.06/383,332.50
  6. Step 6: Final answer
    x = 1,842,787.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.