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Finding the Third Proportional to 840,334.50 and 1,208,013.75

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Solution

The third proportional to 840,334.50 and 1,208,013.75 is: 1,736,567.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    840,334.50 : 1,208,013.75 = 1,208,013.75 : x
  2. Step 2: Convert to fraction form
    840,334.50/1,208,013.75 = 1,208,013.75/x
  3. Step 3: Cross multiply
    840,334.50x = 1,208,013.75 × 1,208,013.75
  4. Step 4: Simplify right side
    840,334.50x = 1,459,297,220,189.06
  5. Step 5: Solve for x
    x = 1,459,297,220,189.06/840,334.50
  6. Step 6: Final answer
    x = 1,736,567.07

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.