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Finding the Third Proportional to 290,208.75 and 609,793.50

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Solution

The third proportional to 290,208.75 and 609,793.50 is: 1,281,312.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,208.75 : 609,793.50 = 609,793.50 : x
  2. Step 2: Convert to fraction form
    290,208.75/609,793.50 = 609,793.50/x
  3. Step 3: Cross multiply
    290,208.75x = 609,793.50 × 609,793.50
  4. Step 4: Simplify right side
    290,208.75x = 371,848,112,642.25
  5. Step 5: Solve for x
    x = 371,848,112,642.25/290,208.75
  6. Step 6: Final answer
    x = 1,281,312.55

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.