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Finding the Third Proportional to 290,588.75 and 627,050.50

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Solution

The third proportional to 290,588.75 and 627,050.50 is: 1,353,088.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,588.75 : 627,050.50 = 627,050.50 : x
  2. Step 2: Convert to fraction form
    290,588.75/627,050.50 = 627,050.50/x
  3. Step 3: Cross multiply
    290,588.75x = 627,050.50 × 627,050.50
  4. Step 4: Simplify right side
    290,588.75x = 393,192,329,550.25
  5. Step 5: Solve for x
    x = 393,192,329,550.25/290,588.75
  6. Step 6: Final answer
    x = 1,353,088.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.